In an August 2012 Gallup survey of 1,012 randomly selected U.S. adults (age 18 and over), 536 said that they were dissatisfied with the quality of education students receive in kindergarten through grade 12.

a. Test, at the 5% significance level, if this sample provides evidence that the proportion of Americans who are dissatisfied with education in kindergarten through grade 12 differs significantly from 50%.
b. Is the Test Significant? Why or Why not.

Answers

Answer 1

Answer:

Yes, result is significant ; PVALUE < α

Step-by-step explanation:

Given :

x = 536

n = sample size = 1012

Phat = x / n = 536 / 1012 = 0.5296 = 0.53

H0 : P0 = 0.5

H1 : P0 > 0.5

Test statistic :

(Phat - P0) ÷ sqrt[(P0(1 - P0)) / n]

1-P0 = 1 - 0.5 = 0.5

(0.53 - 0.5) ÷ sqrt[(0.5*0.5)/1012]

0.03 ÷ 0.0157173

= 1.9087

Pvalue :

Using the Pvalue from test statistic :

Pvalue = 0.02815

To test if result is significant :

α = 0.05

0.02815 < 0.05

Pvalue < α ; Hence, result is significant at α=0.05; Hence, we reject H0.


Related Questions

Can someone tell me how to do this and give me the answer please

Answers

Answer:

C. 94 Supplementary angles

Step-by-step explanation:

Connie bought 172 tulip bulbs. She wants to plant an equal number of bulbs in each of 4 flower beds. How many bulbs should Connie plant in each flower bed?

Answers

She should plant 43 tulip bulbs in each bed.

Answer:

43

Step-by-step explanation:

The answer should be 43 because if you divide 172 by 4 it gives you 43 so that gives you the answer 172 ÷ 4 = 43.

Calculate the balance for a $4,465 deposit in an account with an APR of 3.0% that compounds interest daily that is invested for 5 years?

Express your answer rounded correctly to the nearest cent. Do not include units on your answer.


help hurry

Answers

Compound interest formula:

Total = start value x ( 1 + rate/compound rate) ^( compound rate x time)

Total = 4,465(1 + .03/365)^(365x5)

Total = $5,187.56

The balance after 5 years will be $5177 and 10 cents.

How to calculate compound interest?

Compound interest is calculated by following formula:

[tex]A(1+\frac{r}{n})^{nt}[/tex]

Here:

A=principle amount=$4465

r=rate of interest/100=3/100=0.03

n=no. of days interest is applied=365 days

t=time period of interest=5 years

Putting all the values in the formula we get:

[tex]4465(1+0.03/365)^{365*5}=$5177.1[/tex]

Therefore, The amount at the end will be $5177 and 10 cents.

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3(6x-5)-7(3x+10)=0. solve for x

Answers

Answer:

x = -85/3

Step-by-step explanation:

The solution is, the value of x is - 33.33 in 3(6x-5)-7(3x+10)=0.

What is  simplification?

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given expression is:

3(6x-5)-7(3x+10)=0

now, we have to simplify the expression to solve for x

we get,

3(6x-5)-7(3x+10)=0

or, 18x - 30 - 21x - 70 = 0

or, 18x - 21x -30 - 70 = 0

or, - 3x - 100 = 0

or, 3x = -100

or, x = -100/3

or, x = - 33.33

Hence, The solution is, the value of x is - 33.33 in 3(6x-5)-7(3x+10)=0.

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You have collected weekly earnings and age data from a sub-sample of 1,744 individualsusing the Current Population Survey in a given year. Given the overall mean of $434.49and a standard deviation of $294.67, construct a 99% confidence interval for averageearnings in the entire population. State the meaning of this interval in words, ratherthan just in numbers. If you constructed a 90% confidence interval instead, would itbe smaller or larger? What is the intuition?

Answers

Answer:

The 99% confidence interval for average weekly earnings in the entire population is between $416.42 and $452.66. This means that we are 99% sure that the true population mean weekly earnings is between these two values.

Due to the smaller margin of error, the confidence interval would be smaller, that is, less likely to contain the true population mean.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.575\frac{294.67}{\sqrt{1744}} = 18.17[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 434.49 - 18.17 = $416.42

The upper end of the interval is the sample mean added to M. So it is 434.49 + 18.17 = $452.66

The 99% confidence interval for average weekly earnings in the entire population is between $416.42 and $452.66. This means that we are 99% sure that the true population mean weekly earnings is between these two values.

If you constructed a 90% confidence interval instead, would it be smaller or larger? What is the intuition?

For a 90% confidence interval, we would have z = 1.645.

Looking at the margin of error formula, M and z are direct proportional, that is, as z decreases so does M. Due to the smaller margin of error, the confidence interval would be smaller, that is, less likely to contain the true population mean.

What is the name of the relationship when a function of the form y = ab^x is
used to fit the data?
A. Correlation
B. Exponential regression
C. Linear regression

Answers

Answer:

Exponential Regression

Step-by-step explanation:

AP3X

The name of the relationship when a function of the form y = abˣ is used to fit the data is, ''Exponential regression''.

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

We have to given that;

The function is,

⇒ y = abˣ

Now, We know that;

Exponential regression of the equation is of the form,

⇒ y = abˣ

Hence, The name of the relationship when a function of the form y = abˣ is used to fit the data is, ''Exponential regression''.

Option B is true.

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32 ÷ 24 plese help me

Answers

Answer: 1.333

Step-by-step explanation:

Answer:

1.33

Step-by-step explanation:

nothing much to explain

The Candy Store is selling packs of gummies. A pack has 2 and 1/3 pound
of pineapple gummies and 1 and 5/6 pound of strawberry gummies. How
may pounds of gummies is in a pack?

Answers

Answer:

4 pounds

Step-by-step explanation:

Jackson has 180 pieces of gum. He wants to share the pieces equally with his friends. Which table shows the relationship between n, the number of people who received gum, and p the number of pieces of gum each person receives?

Answers

Answer:

Step-by-step explanation:

hey guys i got one more- 8 mi.=_yd. Thanks!!!(PLEASE ANWER FAST!!)

Answers

Answer:

if mi stands for miles then 8 miles = 14080 yards

Step-by-step explanation:

8 x 1760

Answer:

14080

Step-by-step explanation:

8 * 1760 = 14080

The radius of a circle is 16 cm. Find its area in terms of \piπ

Answers

Answer256pi

Step-by-step explanation:

Area=pi*r^2

=pi*16^2

256pi

Matt is baking cookies.

He uses butter, sugar and flour in a ratio of 2 : 3 : 4

Matt uses 300 g of flour.

How much sugar does he use?

Answers

I am certain it is

200g butter
300g flour
400g sugar

A marble is drawn at random from the bag shown below. The bag contains 3 green, 4 yellow, 5 blue, and 8 pink
marbles.
What is P(not yellow)?
A 1/5 B 2/5 C 4/5

Answers

Answer: c 4/5

Step-by-step explanation: out of 5 only four are chosen leaving us with an answer of 4/5 :D hope it helped

Which is greater 3/5 or 7/10

Answers

Answer:

7/10

Step-by-step explanation:

Use the butterfly method:

3/5 7/10

multiply the denominator and numerator to each other sides:

3 * 10 = 30

5 * 7 = 35

35 > 30

35 belongs to 7/10 so:

7/10 is greater

Fran has 18 paperback books and 24 hardcover books. What is the ratio of hardcover to paperback books?
WILL GIVE BRAINLIEST
3:4


4:3


3:7


7:3

Answers

The correct answer is 3:4

what are the variables 8 x + 7 - y

plzz I'll give BRAINLIEST​

Answers

Answer:

x and y

Step-by-step explanation:

Those are variables that could be any number. The integers are considered to be coefficients.

Solve for x. -4.5 = -0.5(x – 7.1)​

Answers

Answer:

16.1

Step-by-step explanation:

Answer:

I believe the answer is x = 16.1

Step-by-step explanation:

To find the distance between a point X and an inaccessible point , a line segment XY is constructed. Measurements show that XY = 975m , angle XYZ=22^ 42^ prime and angle YZX=105^ 18^ prime . Find the distance between X and Z to the nearest meter.

Answers

Answer:

sorry i didn't not answer

6. The base of a pyramid is a triangle whose base is 11 yards and height is 19
yards. Determine the volume of the pyramid, if its height is 7 yards. Round
your answer to two decimal places.

Answers

Pretty sure volume would be 487.67

Because volume= lwh/3

What is the area of the triangle? 13 5 12 ​

Answers

Answer:29

Step-by-step explanation:

Evaluate the expression. Show work.

2w + 2l when w= 4 and l=6

Answers

Answer:20

Step-by-step explanation:

2(4)+2(6)

8+12=20

Answer: 20

Step-by-step explanation:

Plug in 4 for w and 6 for I.

2(4) + 2(6) = 8 + 12 = 20

4/12×1/8 in simplest form​

Answers

Answer:

[tex]\frac{1}{24}[/tex]

Step-by-step explanation:

[tex]\frac{4}{12} *\frac{1}{8} =\frac{1}{24}[/tex]

help pls, math due tonight :(

Answers

9514 1404 393

Answer:

40 ftt = 1 second

Step-by-step explanation:

A graphing calculator answers these questions easily.

The ball achieves a maximum height of 40 ft, 1 second after it is thrown.

__

The equation is usefully put into vertex form, as the vertex is the answer to the questions asked.

  h(t) = -16(t^2 -2t) +24

  h(t) = -16(t^2 -2t +1) +24 +16 . . . . . . complete the square

  h(t) = -16(t -1)^2 +40 . . . . . . . . . vertex form

Compare this to the vertex form:

  f(x) = a(x -h)^2 +k . . . . . . vertex (h, k); vertical stretch factor 'a'

We see the vertex of our height equation is ...

  (h, k) = (1, 40)

The ball reaches a maximum height of 40 feet at t = 1 second after it is thrown.

Select the option that best describes the relationship
between the variables on the scatter plot.
35
positive, linear association
30
25
no association
20
15
positive, non-linear association
10
5
negative, linear association
10
12
Activate Windows

Answers

Answer:

4th one its negative,linear association

Step-by-step explanation:

The option that best describes the relationship between the variables on the scatter plot is negative, linear association.

What is a negative linear association?

Variables have a negative association when the line of best fit is downward sloping. Variables have a linear association when the line of best fit is a straight line. Variables have a positive association when the line of best fit is upward sloping.

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Someone please help me!

Answers

Answer:

x^2+y^2=25

Step-by-step explanation:

bc x-0=x and ect.

Write the product in its simplest form 5c7 x 5c8

Answers

Answer:

25c²56

Step-by-step explanation:

Peterson Packaging Inc. does not currently pay dividends. The company will start with a ​$0.70 dividend at the end of year three and grow it by 10​% for each of the next six years. After six years of​ growth, it will fix its dividend at ​$1.36 forever. If you want a 15​% return on this​ stock, what should you pay today given this future dividend​ stream?

Answers

$1.40 because I think so

Solve the equation 6 = p -8

Answers

Answer:

p = 14

Step-by-step explanation:

6 = p - 8

We want to isolate p, so add 8 to both sides.

6 + 8 = p

Add.

14 = p

Hope this helps!

Answer is: P = 14

Switch up the numbers.

6 = p - 8 → 6 + 8 = P

Solve for P.

6 + 8 = 14

Hence, 14 is the answer.

marks lawn care company charges a flat fee of $15, plus $9 per half hour for every job. which equation can be used to find the amount Y that marks lawn care company would charge for a lawn job that takes X hours to complete?
A. Y=15x+18
B. Y=18x+15
C. Y=15x+9
D. Y=9x+15

Answers

Answer:

y= 18x + 15

Step-by-step explanation:

If its 9 dollars per hour than it would be 18 per hour. The independent variable is the how long itll take, and the 15 would be without starting. So it results into B) y=18x+15

Answer:

D. (Y=9x+15)

Step-by-step explanation:

This one was pretty easy to find out using common sense, it can be solved via knowing that the only variable being multiplied is 9, so find 9x+15 and there is your answer.

Need help on em punett sqaures

Answers

Answer:

Black Fur: 100%    White Fur: 0%

Step-by-step explanation:

    B     B

b  Bb  Bb              (all dominant)

b  Bb  Bb

Black Fur: 100%  White Fur: 0%

Answer:

B B

______

b | Bb | Bb |

b | Bb | Bb |

_____

Phenotype Probability (%):

Black Fur: 100%

White Fur: 0%

_____________________

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