A political poll finds that 305 out of 600 (50.8%) of a random sample of likely voters are in favor of the Democrat over the Republican prior to a recent local election between the two candidates. The p-value from a two-sided test of whether the population proportion is different than 50% is 0.714.

1. Which of the following could be the correct 95% confidence interval (range of plausible values) for the true proportion of voters that will vote for the Democrat candidate?

a. (46.8%, 54.8%)
b. (50.1%, 58.0%)
c. (53.0%, 61.0%)

2. When should you use the median as a summary statistic instead of the mean?

Answers

Answer 1

Answer:

1)

Option A.(46.8%, 54.8%) is the correct Answer.

Since the Confidence Interval for the true proportion must contain or include ( p = 50% or 0.5 ),  (46.8%, 54.8%) could be the correct 95% confidence interval (range of plausible values) for the true proportion of voters that will vote for the Democrat candidate.

2)

When a graph falls on a normal distribution, Using the mean is very good choice but when the data has extreme scores, then one should use the median instead of the mean.

Step-by-step explanation:

Given the data in the question;

Null hypothesis             H₀ : p = 50% or 0.5

Alternative hypothesis Hₐ : p ≠ 50% or 0.5

given that p-value = 0.714

The p-value is large, so we can not reject Null hypothesis.

Thus, p = 50% or 0.5

Meaning that, the Confidence Interval for the true proportion must contain or include ( p = 50% or 0.5 )

Thus, Option A.(46.8%, 54.8%) is the correct Answer.

Since the Confidence Interval for the true proportion must contain or include ( p = 50% or 0.5 ),  (46.8%, 54.8%) could be the correct 95% confidence interval (range of plausible values) for the true proportion of voters that will vote for the Democrat candidate.

2)  

When a graph falls on a normal distribution, Using the mean is very good choice but when the data has extreme scores, then one should use the median instead of the mean.


Related Questions

please help!!! Thanksss

Answers

Answer:

The image's not clear!

Step-by-step explanation:

Answer:

The answer is 30 (C)

Which algebraic expression is equivalent to the expression below? 8(4x + 6) + 19

Answers

Answer:

The answer is 32x+67

Step-by-step explanation:

HELP ME PLlZZZZ
Find point Z that partitions the directed line segment XY in the ratio of 3:2 where X(-4, -2) and Y(6, 3).

Answers

Answer:

(2 , 1)

Step-by-step explanation:

point Z (x, y)

x = 3/5 × (6+4) + (-4)

= 3/5×10 -4

= 6-4

= 2

y = 3/5 ×(3+2) + (-2)

= 3/5 ×5 -2

= 3-2

= 1

so, point Z => (2 , 1)

3. What is the missing term in the sequence 10, 12, 16, 24,
, 72?
A. 32
B. 40
C. 48
D. 64

4. What rule is being used in this sequence 25, 28, 26, 29, 27?
A. Add 3.
B. Add 3, subtract 2...
C. Subtract 3, add 2...
D. Multiply by 3, subtract 2...

5. What is the value of kin 6k - 19 = 23?
A. 14
B. 11
C. 7
D. 5
Answer pls. ASAP Need it now​

Answers

Answer:

3. B

4. B

5. C

Step-by-step explanation:

Write 346% as a decimal

Answers

Answer:

3.46

Step-by-step explanation:

Answer:

3.46

Step-by-step explanation:

346% = 346/100 = 3.46

The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of business travelers follow.
3 7 8 9 10 10 10 9 9 9 9 8 5
6 7 7 9 8 10 9 8 7 6 8 7 9
5 3 9 10 10 9 9 8 9 8 6 10 8
4 7 3 10 8 9 8 10 10 8 8
Develop a 95% confidence interval estimate of the population mean rating for Miami (to 2 decimals).

Answers

Answer:

The 95% confidence interval estimate of the population mean  is (7.38, 8.46).

Step-by-step explanation:

Before building the confidence interval, we need to find the mean and standard deviation of the sample.

In this sample, there are 50 values.

Mean of the sample:

Sum of all values divided by the number of values.

With the help of a calculator, the mean is of 7.92.

Standard deviation:

Square root of the division of the sum of the difference squared between each value and the mean by the number of the values.

With the help of a calculator, the standard deviation is of 1.8958.

Confidence interval:

We have the confidence interval for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 50 - 1 = 49

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 49 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.01

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.01\frac{1.8958}{\sqrt{50}} = 0.54[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 7.92 - 0.54 = 7.38

The upper end of the interval is the sample mean added to M. So it is 7.92 + 0.54 = 8.46

The 95% confidence interval estimate of the population mean  is (7.38, 8.46).

(Quadratic Regressions)
A rocket is shot off from a launcher. The accompanying table represents the height of
the rocket at given times, where x is time, in seconds, and y is height, in feet. Write a
quadratic regression equation for this set of data, rounding all coefficients to the
nearest hundredth. Using this equation, find the height, to the nearest foot, at a time
of 6.4 seconds.

Answers

Answer:

y = - 15.57x² + 179.32x + 0.20

510

Step-by-step explanation:

The quadratic model obtained using a quadratic regression solver with Coefficient rounded to the nearest hundredth is :

y = - 15.57x² + 179.32x + 0.20

Where, height = y

x = time

Using the model obtained ; the height, to the nearest foot, at a time, x = 6.4 seconds.

y = - 15.57x² + 179.32x + 0.20

y = - 15.57(6.4^2) + 179.32(6.4) + 0.20

y = 510.1008

y = 510

The quadratic model obtained using a quadratic regression solver with Coefficient rounded to the nearest hundredth is :

y = - 15.57x² + 179.32x + 0.20

height = y

x = time

                          Using the model obtained;

The height, to the nearest foot, at a time, x = 6.4 seconds.

y = - 15.57x² + 179.32x + 0.20 y = - 15.57(6.4^2) + 179.32(6.4) + 0.20 y = 510.1008 y = 510

Thus, the correct answer is 510.

Know more :

https://brainly.com/question/23117287?referrer=searchResults

What is the measure of angle IXA?​

Answers

Answer:

is it 120

Step-by-step explanation:

it is 120 I can't really explain how I got it though

This is dum y do we need math like wth

Answers

Step-by-step explanation:

To get through school nd have something to do w your life!

WILL



GIVE


BRAINLIST


.
..
.

..

Answers

The correct answer is Option (4).

Boy and he likes swimming =

Answers

Answer:

hot boy shirtless

Step-by-step explanation:

What is the product? Complete the equation.

-10 • 45

Answers

Answer
450
Explanation
-10 x 45= -450

The total length of your apartment is 30 feet and the total width is 20 feet. What is the total area of the apartment? a) 50 square feet b) 120 square feet O c) 500 square feet d) 600 square feet ​

Answers

Answer:

D

Step-by-step explanation:

Area =  l × w

=  30 × 20

=  600 feet2

PLS HELP ! Find the length of the third side. if necessary, round to the nearest tenth. ​

Answers

Answer:

242 or 15.6

Step-by-step explanation:

HELPP
A report indicated that the RoyCo corporation grew in dollar value by 40% between 2007 and 2012 but by only 12% between 2012 and 2014. Which of these factors supports the claim that the data are potentially misleading?
The given intervals of time are different.


A.The two intervals of time are kept separate.


B.The overall value of the company is unstated.


C.The basis for determining the given values are unexplained.

Answers

Answer:

y-step explanation:

PLssssssssssssssssssssssssssssssssss help.

Answers

Answer:

A. 9.8ft

Step-by-step explanation:

work out arc length using this formula

[tex]2\pi \: \times r \times \frac{\theta}{360} [/tex]

r is the radius, 7 in this case and theta(the symbol above 360) is the angle, 80 in this case

Factor 5x+35 . If the expression cannot be factored, write cannot be factored.

Answers

Answer:

5 ( x + 7 )

Step-by-step explanation:

= 5x + 35

= 5 ( x + 7 )

Therefore, after factorizing you will get 5 ( x + 7 )

Answer:

hey , it can be factored:

this is the factored expression:

5(x+7)

NEED HELP PLEASE!! WILL GIVE BRAINIEST...
Find the measures for angles x, y, z.

Answers

Answer:

m∡x = 95°

m∡y = 147°

m∡z = 128°

Step-by-step explanation:

m∡z = 180-52 = 128

measure of third angle in left triangle = 180-(45+50) = 85°

m∡x = 180-85 = 95°

measure of top angle in right triangle = 180-(95+52) = 33°

m∡y = 180-33 = 147°

Belle buys 80 pencils with fuzzy tops. She gives 4 to each of her 16 classmates. The expression for the number of pencils she has left is 80-(4-16). Complete each sentence to identify the parts of the expression.​

Answers

Answer:

80÷(4÷16) = 20

Step-by-step explanation:

4÷6=4

4x4=16

80÷4=20

4x20=80

The answer is 20 Bc it is

Pls help me with this

Answers

Answer:

sin X=30 degree

cos X=30 degree

tan X=30 degree

cot X=30 degree

sec X=30 degree

Step-by-step explanation:

Convert the time. Enter your answer in the box.

4 minutes 53 seconds =
seconds

Answers

293 seconds ____________

Write the equation of the line which passes through the
point (2, -3) and has a slope of —2/5

Answers

Answer:

y=-2/5x-11/5

Step-by-step explanation:

y-y1=m(x-x1)

y-(-3)=-2/5(x-2)

y+3=-2/5x+4/5

y=-2/5x+4/5-3

y=-2/5x+4/5-15/5

y=-2/5x-11/5

The degree measure of an angle in a right triangle is x, and sin x =
Which of the following expressions are also equal to
? Select all that apply.
A. Cos(x)
B. Cos(x - 459)
C. cos(90° - x)
D. Cos(60° - x)
E. COS(45° - x)

Answers

Step-by-step explanation:

I feel there is important information lost in the way you provided the problem statement.

e.g. "... also equal to ?"

equal to what ?

sin x = what ?

so, I can only guess some things.

answer C is definitely correct for any angle up to 180 degrees.

answer A is only correct for an angle of 45 or 225 degrees, where sin(x) and cos(x) are both 1/sqrt(2) or both -1/sqrt(2).

answer B is always wrong (459 degrees is no special number, this is a full circle of 360 degrees and then additional 99 degrees there is no special relationship between sine and cosine for 99 degrees, so sine and cosine cannot have the same value for any x).

answer D is always wrong, as there is always a 30 degree difference between the arguments for sine and cosine, and that can never lead to an equal value.

answer E is also always wrong, as these 45 degrees difference also block equal values.

Translating between Tables,
Graphs, and Equations

Make a table of value and graph the equation
Y=3x-5

Answers

Answer:

Table of values

[tex]x \to y[/tex]

[tex]0 \to -5[/tex]

[tex]1 \to -2[/tex]

[tex]2 \to 1[/tex]

[tex]3 \to 4[/tex]

[tex]4 \to 7[/tex]

[tex]5 \to 10[/tex]

See attachment for graph

Step-by-step explanation:

Given

[tex]y = 3x - 5[/tex]

Solving (a): Make a table

Considering the values of x from 0 to 5, we have:

When [tex]x = 0[/tex]

[tex]y = 3x - 5 \to 3 * 0 - 5 = -5[/tex]

When [tex]x = 1[/tex]

[tex]y = 3x - 5 \to 3 * 1 - 5 = -2[/tex]

When [tex]x = 2[/tex]

[tex]y = 3x - 5 \to 3 * 2 - 5 = 1[/tex]

When [tex]x = 3[/tex]

[tex]y = 3x - 5 \to 3 * 9 - 5 = 4[/tex]

When [tex]x = 4[/tex]

[tex]y = 3x - 5 \to 3 * 4 - 5 = 7[/tex]

When [tex]x = 5[/tex]

[tex]y = 3x - 5 \to 3 * 5 - 5 = 10[/tex]

So, we have:

[tex]x \to y[/tex]

[tex]0 \to -5[/tex]

[tex]1 \to -2[/tex]

[tex]2 \to 1[/tex]

[tex]3 \to 4[/tex]

[tex]4 \to 7[/tex]

[tex]5 \to 10[/tex]

Solving (b): The graph

See attachment

please answer this question below

Answers

Y = 5
3x -5y + 19 = 0

3(2) -5y +19 = 0

6 -5y + 19 = 0

-5y +25 = 0

-5y = -25 ( divide by negative 5 )

Y = 5

14. Find the value of x.
A. x = 18
B. x = 122
C. X = 7.3
D. x = 27.7
(14 + 6x)"
1220

Answers

I think the answer is B

What is the ratio of 765000 to 100000

Answers

Answer:

153:20

Step-by-step explanation:

765000/100000

=153/20

If a fair coin is tossed 8 times, what is the probability, to the nearest thousandth, of getting exactly 2 tails?

Answers

Answer:

0.109

Step-by-step explanation:

Probability is expressed by the number of desirable outcomes over the total outcomes. The total outcomes would be 2^8 because there are two possibilities in each flip, and using the fundamental counting principle, you get 2^8 total outcomes. Next, to find the amount of situations where you only flip two tails, you use 8 choose 2 because we are looking for the amount of ways you can choose 2 out of the 8 to be tails. 8 choose 2 is the same as:

8! / (6! x 2!) - 28

So, the probability is:

28 / 2^8 or 28/256

As a decimal, this is: 0.109375

And rounded to the nearest thousandth it's 0.109

Trying again. Can someone please help me asap? Please, thank you.

Answers

Given:

Two figures.

To find:

The area of the shaded regions for both figures.

Solution:

In first figure, the shaded area is a triangle with base 15 units and height 12 units. So, the area of the shaded region is equal to area of the triangle.

[tex]A=\dfrac{1}{2}\times base\times height[/tex]

[tex]A=\dfrac{1}{2}\times 15\times 12[/tex]

[tex]A=\dfrac{180}{2}[/tex]

[tex]A=90[/tex]

Therefore, the area of the shaded region is 90 square units.

In the seconds figure, we need to subtract the area of square from the area of triangle, to get the area of the shaded region.

Area of triangle with base 15 and height 18 is:

[tex]A_1=\dfrac{1}{2}\times 15\times 18[/tex]

[tex]A_1=\dfrac{270}{2}[/tex]

[tex]A_1=135[/tex]

Area of the square with sides 6.

[tex]A_2=(side)^2[/tex]

[tex]A_2=(6)^2[/tex]

[tex]A_2=36[/tex]

Now, the area of the shaded region is:

[tex]A=A_1-A_2[/tex]

[tex]A=135-36[/tex]

[tex]A=99[/tex]

Therefore, the area of the shaded region is 99 square units.

Write 2.5 : 4.5 as a whole number ratio in it's simplest from.

Answers

Answer: : = 5 : 9

Step-by-step explanation:

Answer:

i think it would be 5:9

Step-by-step explanation:

Change values to whole numbers.

Convert any decimal numbers to integers by multiplying both sides by 101 = 10 to eliminate all, 1, decimal places.

We then have:

2.5 : 4.5 = 25 : 45

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 25 and 45 is 5

Divide both terms by the GCF, 5:

25 ÷ 5 = 5

45 ÷ 5 = 9

The ratio 25 : 45 can be reduced to lowest terms by dividing both terms by the GCF = 5 :

25 : 45 = 5 : 9

Therefore:

2.5 : 4.5 = 5 : 9

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