It is believed that 11% of all Americans are left-handed. In a random sample of 100 students from a particular college with 10123 students, 14 were left-handed. Find a 98% confidence interval for the percentage of all students at this particular college who are left-handed.

Answers

Answer 1

Answer:

Step-by-step explanation:

We can calculate this confidence interval using the population proportion calculation. To do this we must find p' and q'

Where p' = 14/100= 0.14 (no of left handed sample promotion)

q' = 1-p' = 1-0.14= 0.86

Since the requested confidence level is CL = 0.98, then α = 1 – CL = 1 – 0.98 = 0.02/2= 0.01, z (0.01) = 2.326

Using p' - z alpha √(p'q'/n) for the lower interval - 0.14-2.326√(0.14*0.86/100)

= -2.186√0.00325

= -2.186*0.057

= 12.46%

Using p' + z alpha √(p'q'/n)

0.14+2.326√(0.14*0.86/100)

= 0.466*0.057

= 26.5%

Thus we estimate with 98% confidence that between 12% and 27% of all Americans are left handed.


Related Questions

what it 17.15 in 12hour clock

Answers

Answer:

Step-by-step explanation:

Hello friend

The answer is 5:15 in 12 hour clock

Answer:

5:15 PM

Step-by-step explanation:

12:00 + 5:00

17:00 in 12 hour clock is 5:00 PM.

15 minutes + 5:00 PM

⇒ 5:15 PM

Consider the following sample information from Population A and Population B. Sample A Sample B n 24 16 s2 32 38 We want to test the hypothesis that the population variances are equal. The test statistic for this problem equals a. .84. b. .67. c. 1.50. d. 1.19.

Answers

Answer:

Always the numerator for the statistic needs to be higher than the denominator. And replacing we got:

[tex]F=\frac{s^2_2}{s^2_1}=\frac{38}{32}=1.19[/tex]

And the best option would be:

d. 1.19.

Step-by-step explanation:

Data given and notation  

[tex]n_1 = 24 [/tex] represent the sampe size 1

[tex]n_2 =16[/tex] represent the sample size 2

[tex]s^2_1 = 32[/tex] represent the sample variance for 1

[tex]s^2_2 = 38[/tex] represent the sample variance for 2

The statistic for this case is given by:

[tex]F=\frac{s^2_1}{s^2_2}[/tex]

Hypothesis to verify

We want to test if the true deviations are equal, so the system of hypothesis are:

H0: [tex] \sigma^2_1 = \sigma^2_2[/tex]

H1: [tex] \sigma^2_1 \neq \sigma^2_2[/tex]

Always the numerator for the statistic needs to be higher than the denominator. And replacing we got:

[tex]F=\frac{s^2_2}{s^2_1}=\frac{38}{32}=1.19[/tex]

And the best option would be:

d. 1.19.

What is the volume of this aquarium?

Answers

Answer:

9,000 inches^3

Step-by-step explanation:

The first part is 20 x 20 x 20, which equals 8,000

The second part is 10 x 10 x 10, which is 1,000

1,000 + 8,000 = 9,000

If AB= X and x=4, then the transitive property states

Answers

Answer:

AB=4

Step-by-step explanation:

The transitive property states if A=B and B+C than A+C  Next substitute

AB=x and x=4 so AB=4

Hope this helps, if it did, please give me brainliest, it helps me a lot. :)

Have a good day!

What is the simplified form of the inequality below? S - 7 < 3

Answers

Answer:

s-7<3

in order to find the value adding 7 on both sides

s-7+7<3+7

s<10

Step-by-step explanation:

i hope this will help you :)

Answer:

s-7<3

in order to find the value adding 7 on both sides

s-7+7<3+7

s<10

Step-by-step explanation:

We are standing on the top of a 320 foot tall building and launch a small object upward. The object's vertical altitude, measured in feet, after t seconds is h ( t ) = − 16 t 2 + 128 t + 320 . What is the highest altitude that the object reaches?

Answers

Answer:

The highest altitude that the object reaches is 576 feet.

Step-by-step explanation:

The maximum altitude reached by the object can be found by using the first and second derivatives of the given function. (First and Second Derivative Tests). Let be [tex]h(t) = -16\cdot t^{2} + 128\cdot t + 320[/tex], the first and second derivatives are, respectively:

First Derivative

[tex]h'(t) = -32\cdot t +128[/tex]

Second Derivative

[tex]h''(t) = -32[/tex]

Then, the First and Second Derivative Test can be performed as follows. Let equalize the first derivative to zero and solve the resultant expression:

[tex]-32\cdot t +128 = 0[/tex]

[tex]t = \frac{128}{32}\,s[/tex]

[tex]t = 4\,s[/tex] (Critical value)

The second derivative of the second-order polynomial presented above is a constant function and a negative number, which means that critical values leads to an absolute maximum, that is, the highest altitude reached by the object. Then, let is evaluate the function at the critical value:

[tex]h(4\,s) = -16\cdot (4\,s)^{2}+128\cdot (4\,s) +320[/tex]

[tex]h(4\,s) = 576\,ft[/tex]

The highest altitude that the object reaches is 576 feet.

The weights of college football players are normally distributed with a mean of 200 pounds and a standard deviation of 50 pounds. If a college football player is randomly​ selected, find the probability that he weighs between 170 and 220 pounds. Round to four decimal places.

Answers

Answer:

0.3811 = 38.11% probability that he weighs between 170 and 220 pounds.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 200, \sigma = 50[/tex]

Find the probability that he weighs between 170 and 220 pounds.

This is the pvalue of Z when X = 220 subtracted by the pvalue of Z when X = 170.

X = 220

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{220 - 200}{50}[/tex]

[tex]Z = 0.4[/tex]

[tex]Z = 0.4[/tex] has a pvalue of 0.6554

X = 170

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{170 - 200}{50}[/tex]

[tex]Z = -0.6[/tex]

[tex]Z = -0.6[/tex] has a pvalue of 0.2743

0.6554 - 0.2743 = 0.3811

0.3811 = 38.11% probability that he weighs between 170 and 220 pounds.

16. How much money will I need to have at retirement so I can withdraw $60,000 a year for 20 years from an account earning 8% compounded annually? a. How much do you need in your account at the beginning b. How much total money will you pull out of the account? c. How much of that money is interest?

Answers

Answer:

starting balance: $636,215.95total withdrawals: $1,200,000interest withdrawn: $563,784.05

Step-by-step explanation:

a) If we assume the annual withdrawals are at the beginning of the year, we can use the formula for an annuity due to compute the necessary savings.

The principal P that must be invested at rate r for n annual withdrawals of amount A is ...

  P = A(1+r)(1 -(1 +r)^-n)/r

  P = $60,000(1.08)(1 -1.08^-20)/0.08 = $636,215.95

__

b) 20 withdrawals of $60,000 each total ...

  20×$60,000 = $1,200,000

__

c) The excess over the amount deposited is interest:

  $1,200,000 -636,215.95 = $563,784.05

Laura tiene las tres séptimas partes de la edad de su mamá dentro de 5 años la edad de su mamá será el doble que la edad de ella ¿Cuántos años tiene cada una?

Answers

Answer:

Laura tiene 15 años mientras que su madre tiene 35 años.

Step-by-step explanation:

Deje que la edad de Laura sea L.

Deje que la edad de su madre sea m.

Tiene 3/7 de la edad de su madre:

L = 3 m / 7

En 5 años, la edad de su madre será el doble de su edad:

(m + 5) = 2 (L + 5)

m + 5 = 2L + 10

m - 2L = 5

Pon el valor de L:

m - 2 (3 m / 7) = 5

m - 6 m / 7 = 5

Multiplica por 7:

7m - 6m = 35

m = 35 años

=> L = 3 * 35/7 = 15 años

Laura tiene 15 años mientras que su madre tiene 35 años.


I need help on a question real quick

Answers

Answer:

4x-3y

Step-by-step explanation:

A girl walks 800 m on a bearing of 129°.
Calculate how far: a east b south she is from
her starting point.​

Answers

Answer: a) 503.2m

b) 621.6m

Step-by-step explanation:

The diagram representing the scenario is shown in the attached photo.

A represents her starting point.

CD = x = how far east she is from her starting point

BC = y = how far south she is from her starting point

Angle BAC = 180 - 129 = 51°

Angle ACD = angle BAC = 51° because they are alternate angles

To determine x, we would apply the cosine trigonometric ratio

Cos 51 = x /800

x = 800Cos51 = 800 × 0.629 = 503.2m

To determine y, we would apply the sine trigonometric ratio

Sin 51 = y /800

y = 800Sin51 = 800 × 0.777 = 621.6m

A normally distributed data set with a mean of 35 and a standard deviation of 5 is represented by the normal curve. What is the z–score corresponding to 45?

Answers

Answer:

The z–score corresponding to 45 is z=2.

Step-by-step explanation:

We have a random variable X represented by a normal distribution, with mean 35 and standard deviation 5.

The z-score represents the value X relative to the standard normal distribution. This allows us to calculate probabilities for any given normal distribution with the same table.

The z-score for X=45 can be calculated as:

[tex]z=\dfrac{X-\mu}{\sigma}=\dfrac{45-35}{5}=\dfrac{10}{5}=2[/tex]

The z–score corresponding to 45 is z=2.

Describe the possible echelon forms of a nonzero 2 x 2 matrix.

Answers

Answer:

we approach the issue by taking note of that a 2 x 2 matrix can either have 1 0r 2 pivot columns. If the matrix has no pivot columns then every entry in the matrix must be zero.

-> if our matrix has two pivot columns then : [tex]\left(\begin{array}{rr}-&*&0&-\end{array}\right)[/tex]

-> if our matrix has one pivot column then we have a choice to make. If the first column is pivot column then: [tex]\left(\begin{array}{rr}-&*&0&0\end{array}\right)[/tex]

->otherwise, if the pivot column is the second column then: [tex]\left(\begin{array}{rr}0&-&0&0\end{array}\right)[/tex]

9. A line passes through (2, –1) and (8, 4). a. Write an equation for the line in point-slope form. b. Rewrite the equation in standard form using integers.

Answers

Answer:

Step-by-step explanation:

(4+1)/(8-2)= 5/6

y + 1 = 5/6(x - 2)

y + 1 = 5/6x - 5/3

y + 3/3 = 5/6x - 5/3

y = 5/6x - 8/3

6(y = 5/6x - 8/3)

6y = 5x - 16

-5x + 6y = -16

The volume of a cantaloupe is approximated by Upper V equals four thirds pi font size decreased by 5 r cubed . The radius is growing at the rate of 0.5 cm divided by week​, at a time when the radius is 6.4 cm. How fast is the volume changing at that​ moment?

Answers

Answer:

308.67 cm ^ 3 / week

Step-by-step explanation:

A cantaloupe is approximately a sphere, therefore its approximate volume would be:

V = (4/3) * pi * (r ^ 3)

They tell us that dr / dt 0.5 cm / week and the radius is 6.4 cm

if we derive the formula from the volume we are left with:

dV / dt = (4/3) * pi * d / dr [(r ^ 3)]

dV / dt = (4/3) * pi * 3 * (r ^ 2) * dr / dt

dV / dt = 4 * pi * (r ^ 2) * dr / dt

we replace all the values and we are left with:

dV / dt = 4 * 3.14 * (6.4 ^ 2) * 0.6

dV / dt = 308.67

Therefore the volume is changing at a rate of 308.67 cm ^ 3 / week

Please I am in need of help if you go solve all my questions o will mark brainliest

Answers

Answer:

top left

Step-by-step explanation:

Consider finding points on the graph using the equation.

x = 0 : f(0) = [tex]0.5^{0}[/tex] + 4 = 1 + 4 = 5 ← y- intercept

Since y- intercept is 5, this excludes the lower 2 graphs, which have y- intercepts of 1

x = 1 : f(1) = [tex]0.5^{1}[/tex] + 4 = 0.5 + 4 = 4.5 ⇒ (1, 4.5 )

x = - 1 : f(- 1) = [tex]0.5^{-1}[/tex] + 4 = [tex]\frac{1}{0.5}[/tex] + 4 = 2 + 4 = 6 ⇒ (1, 6 )

These points lie on the top left graph

SNOG PLEASE HELP! (x-1)(y+8)

Answers

Answer:

xy + 8x - y - 8

Step-by-step explanation:

We can use the FOIL method to expand these two binomials. FOIL stands for First, Outer, Inner, Last.

F: The First means that we multiply the first terms of each binomial together. In this case, that would be x · y = xy.

O: The Outer means that we multiply the outer terms, or the first term of the first binomial and the second term of the last binomial, together. In this case, that would be x · 8 = 8x.

I: The Inner means that we multiply the inner terms, or the second term of the first binomial and the first term of the second binomial, together. In this case, that would be (-1) · y = -y.

L: The Last means that we multiply the last terms of each binomial together. In this case, that would be (-1) · 8 = -8.

Adding all of these together, we get xy + 8x - y - 8 as our final answer.

Hope this helps!

Answer:

[tex]xy+8x-y-8[/tex]

Step-by-step explanation:

=> (x-1)(y+8)

Using FOIL

=> [tex]xy+8x-y-8[/tex]

what is the median price of rent for the university of oregon

Answers

Answer:

$11,450

Step-by-step explanation:

thats the median price according to Google

The first card selected from a standard 52-card deck was a king. If it is returned to the deck, what is the probability that a king will be drawn on the second selection

Answers

Answer:

[tex]\frac{1}{13}[/tex]

Step-by-step explanation:

The probability P(A) that an event A will occur is given by;

P(A) = [tex]\frac{number-of-possible-outcomes-of-event-A}{total-number-of-sample-space}[/tex]

From the question,

=>The event A is selecting a king the second time from a 52-card deck.

=> In the card deck, there are 4 king cards. After the first selection which was a king, the king was returned. This makes the number of king cards return back to 4. Therefore,

number-of-possible-outcomes-of-event-A = 4

=> Since there are 52 cards in total,

total-number-of-sample-space = 52

Substitute these values into equation above;

P(Selecting a king the second time) = [tex]\frac{4}{52}[/tex] = [tex]\frac{1}{13}[/tex]

(06.01 MC) What is the value of the expression shown below? 8 + (7 + 1) 2 ÷ 4 ⋅ (5 points) Select one: a. 7 b. 9 c. 21

Answers

Answer:

b. 9

Just use PEMDAS

Eight times the difference between a number and six is equal to four times the number. What’s the number?

Answers

Answer:

12

Step-by-step explanation:

Given:

Let the number be x.

According to the question,

8(x-6)= 4 x

8 x-48=4 x

8 x-4 x= 48

4 x=48

x=48/4

x=12

Thank you!

of the following fractions which is 50% greater than 3/7

Answers

Answer:

9/14

Step-by-step explanation:

3/7 + 50%×3/7 =

= 3/7 + 1/2×3/7

= 3/7 + 3/14

= 6/14 + 3/14

= 9/14

The required fraction which 50% grater than 3/7 is 9/14.


Fraction to determine that 50% grater than 3/7.


What is fraction?

Fraction of the values is number represent in form of Numerator and denominator.


Here, fraction = 50% grater than 3/7
                     
= 1.5 x 3/7
                    = 4.5/7
                     =  45/70
                     
= 9/14

Thus, The required fraction which 50% grater than 3/7 is 9/14.

Learn more about fraction here:
https://brainly.com/question/10354322

#SPJ5


Crane Company reports the following for the month of June.

Date
Explanation
Units
Unit Cost
Total Cost
June 1 Inventory 150 $4 $600
12 Purchase 450 5 2,250
23 Purchase 400 6 2,400
30 Inventory 80

Assume a sale of 500 units occurred on June 15 for a selling price of $7 and a sale of 420 units on June 27 for $8.

Calculate cost of goods available for sale.

Calculate Moving-Average unit cost for June 1, 12, 15, 23 & 27. (Round answers to 3 decimal places, e.g. 2.525.)

Answers

Answer:

Crane Company

June Financial Reports

a) Cost of goods available for sale = $5,250

b) Moving-Average unit cost for:

i) June 1:  = $5

ii)        12:  = $4.75

iii)       15: = $4.75

iv)      23:  = $5.75

v)       27:  = $5.25

Step-by-step explanation:

a) Calculations:

Date     Explanation   Units     Unit Cost    Total Cost   Moving Average Cost

June 1 Inventory          150        $4                $600         $4.000

      12 Purchase         450          5               2,250            4.750

      15 Sale                 500          7                      3,500     4.750

     23 Purchase         400          6               2,400            5.750

     27 Sale                 420          8                      3,360     5.250

     30 Inventory           80

Cost of goods available for sale = Cost of Beginning Inventory + Cost of Purchases = $5,250 + ($600 + 2,250 + 2,400)

b) Moving-Average unit cost for:

i) June 1: Cost of goods available/Units of goods available = $5 ($600/150)

ii)        12: Cost  of goods available/Units of goods available = $4.75 ($600 + 2,250/600)

iii)       15: Cost  of goods available/Units of goods available = $4.75 ($475/100)

iv)      23: Cost of goods available/Units of goods available = $5.75 ($475 + 2,400)/500

v)       27: Cost of goods available/Units of goods available = $5.25 ($420/80)

A 12 sided die is rolled the set of equally likely outcomes is 123 456-789-10 11 and 12 find the probability of rolling a number greater than three

Answers

Answer:

6

Step-by-step explanation:

nerd physics

If the statement shown is rewritten as a conditional statement in if-then form, which best describes the conclusion? When a number is divisible by 9, the number is divisible by 3.

Answers

Answer:

when a number is divisible by 9, then the number is divisible by 3.

Step-by-step explanation:

They tell us "When a number is divisible by 9, the number is divisible by 3" we could change it by:

when a number is divisible by 9, then the number is divisible by 3.

Which makes sense because the number 9 is a multiple of the number 3, which means that the 9 can be divided by 3, therefore, if the number can be divided by 9, in the same way it can be divided by 3 .

Answer:

a

Step-by-step explanation:

11.Which word or words best complete the sentence? Two lines that lie in parallel planes _____ intersect. Sometimes Always Never

Answers

Answer:

never intersect

Step-by-step explanation

parallel lines do not intersect and neither do parallel planes

They will “Never Intersect”

What is the slope of this line?

Answers

Answer:

3/2

Step-by-step explanation:

We can find the slope of this line by using two points

(1,-3) and (3,0)

m = (y2-y1)/(x2-x1)

    = (0- -3)/(3 -1)

    = (0+3)/(3-1)

    = 3/2

11. If 4 < x < 14, what is the range for -x - 4?

Answers

Answer:

-18 < -x-4 < -8

Step-by-step explanation:

We start with the initial range as:

4 < x < 14

we multiplicate the inequation by -1, as:

-4 > -x > -14

if we multiply by a negative number, we need to change the symbols < to >.

Then, we sum the number -4, as:

-4-4> -x-4 > -14-4

-8 > -x-4 > -18

Finally, the range for -x-4 is:

-18 < -x-4 < -8

What is a square root​

Answers

Answer: a square root of a number is a value that when multiply by itself, it gives number. Ex: 2 x 2 = 4 so 2 is a square root of 4.

which of the following statements is false?

Answers

Answer:

A.

Step-by-step explanation:

It's the first one. The angles are supplementary not complementary.

Answer:

I would have to say A

Step-by-step explanation:

Other Questions
Please answer this question now What was the main goal of the Farmers Alliance? for plato end of semester test how do u find rate of change on a graph HELP ASAP, PLEASE!!!! Suppose the world price of cotton falls substantially. The demand for labor among cotton-producing firms in Texas will . The demand for labor among textile-producing firms in South Carolina, for which cotton is an input, will . The temporary unemployment resulting from such sectoral shifts in the economy is best described as unemployment.Suppose the government wants to reduce this type of unemployment. Which of the following policies would help achieve this goal? Check all that apply.a. Extending the number of weeks for which unemployed workers are eligible for unemployment insurance benefits from the governmentb. Taxing the price of placing a resume or posting a job opening on job-search websitec. Establishing government-run employment agencies to connect unemployed workers to job vacancies A car travelling from Ibadan to Lagos at 90 km/hrtakes 1 hour 20 min. How fast must one travel tocover the distance in one hour? Eldrick is using the dot plots to compare two sets of data. Both plots use the same number line. What is the difference between the mean of each data set? what ordered pairs are the solutions of the system of equations shown in the graph below De qu trata la cancin "Come un eroe della Marvel"? A 68 kg crate is dragged across a floor by pulling on a rope attached to the crate and inclined 15 above the horizontal. (a) If the coefficient of static friction is 0.5, what minimum force magnitude is required from the rope to start the crate moving? (b) If k= 0.35, what is the magnitude of the initial acceleration of the crate? A triangle is rotated 90 about the origin. Which rule describes the transformation?O (x, y) (-x,-y)O (x,y) (-y, x)O (x,y) (-y,-x)O (x,y) (y, -x) Which of the following tenses is a composite tense?futur simplefutur prochefutur antrieur Garretts family is worried about his behavior. He no longer displays affection toward family members, refuses to bathe, and thinks that his neighbors dog is sending him coded messages in his cereal. Garretts family takes him to a mental health practitioner, who is most likely to treat him with Plz. Can anyone explain and tell the answer of this question.I promise I will mark it as brainliest Question. Adverbs Fill in the blanks 1. It was swimming_______, its tail out of the water every few seconds.2. _________, we were doing a five-kilometer run downtown Victoria through Beacon Park.3. I go running_______ with my friends from the jogging club.4. As we were running_______ at the edge of the sea, someone shouted Look! There was a grey whale out in the ocean, about a hundred meters from shore.5. We all stoped running________. Amanda is constructing equilateral triangle JKL inscribed in circle M. To construct the inscribed polygon, she is going to use a compass to partition the circle into congruent arcs. To what width should she set the compass when partitioning the circle? A. The width must be equal to the radius of circle M. B. The width must be equal the diameter of circle M. C. The width can be equal to either the radius or the diameter of circle M. D. The width can be any size greater than the radius but less than the diameter of circle M. E. The width must be less than the radius of circle M. help meee please!!!!!!!!!!!!!!!!! Find f o g and g o f to determine if f and g are inverse functions. If they are not inverses, pick the function that would be the inverse with f(x). f(x) = (-2/x) 1; g(x) = -2/(x+1) Choices: a. g(x) has to be: (1+x)/2 b. g(x) has to be: x/2 c. g(x) has to be: 2 (1/x) d. Inverses The Goodsmell perfume producing company has a new line of perfume and is designing a new bottle for it. Because of the expense of the glass required to make the bottle, the surface area must be less than 150 cm2. The company also wants the bottle to hold at least 100mL of perfume. The design under consideration is in the shape of a cylinder. Determine the maximum volume possible for a cylindrical bottle that has a total surface area of less than 150 cm2. Determine the volume to the nearest 10mL. Report the dimensions of the bottle and he corresponding surface are and volume. A $86 ,000 trust is to be invested in bonds paying 9% , CDs paying 6% , and mortgages paying 10% . The bond and CD investment together must equal the mortgage investment. To earn a $7180 annual income from the investments, how much should the bank invest in bonds? Given 1 ABCD and 2D = 1459, what is the measure of C?A. 1450B. 900C. 105D. 35E. 80F. Cannot be determined