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

The table shows a dog’s weight over a 5-year period. Which graph could represent this data?

Answers

Answer:

A

Step-by-step explanation:

Answer:

top left

Step-by-step explanation:

Paige only needs to sell to 17 more customers to receive a bonus. She works part time, so she only talks to 50 customers per day. With a sales ratio of 1:9, on which day will Paige qualify for a bonus?

Answers

Answer:

Paige will qualify for a bonus on her 4th day of work.

Step-by-step explanation:

50 customers per day

needs to sell to 17

Ratio = 1:9

      1:9

×17         ×17

    17:153

Paige needs to see 153 customers.

153 ÷ 50 = 3.06 ≈ 4   (As the answer is not asking for the exact number of the day you round up to make a whole day without underestimating)

So, Paige will qualify for a bonus on her 4th day of work.

a rectangular piece of cardboard measuring 30 inches by 20 inches is made into an open box by first cutting an identical square from each corner and then folding up the sides. The edge of each identical square is a whole number.

Answers

Draw a graph the function and find the value of x that produces the maximum

Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate the integral correct to five decimal places. y = e−x^2, y = 0, x = −2, x = 2​

Answers

Y = 4x*e^(-x) , y=0, x=3 , rotation about y-axis
Graph or sketch the function.
The volumeelement is a cylinder with radius x height y and thickness dx.
Integrate from x=0 to x=3
V = 2 π ∫x*y dx =
2 π ∫x*4x*e^(-x) dx
8 π ∫x²*e^(-x) dx ,
Integrate by part: ∫e^(-x)*x² dx , let u’ = e^(-x) => u = -e^(-x) and v = x² => v’ = 2x
∫e^(-x)*x² dx = -e^(-x)*x² + ∫e^(-x)*2x dx
Integrate by part: ∫e^(-x)*2x dx = -e^(-x)*2x + ∫e^(-x)*2 dx
∫2e^(-x) dx = -2e^(-x).
If we wrap up the above we get :
V = 8 π*[-e^(-x)*(x²+2x+2)]
V = 8 π*[e⁻³(9+6+2) – (-e⁰ *2)]
V = 8 π*[17*e⁻³+ 2] = 28.99363 v.u.

which expression can be used to find the surface area of the following triangular prism. choose 1 answer.​

Answers

A the answer is A...

Answer:

A is in fact correct.

Step-by-step explanation:

shin godzilla vs zilla​

Answers

Answer:

I'd say zilla

Step-by-step explanation:

shin Godzilla would win because here is one scenario Zilla jumps on his back biting him then Shin Godzilla shoots his back beams killing him. plus Zilla shots only fire not any of the radiation things

Need help please and thank you

Answers

Answer:

B is your answer

Step-by-step explanation:

there is none but GOOD LUCK

Solve each equation by taking square roots NEED THIS ASAO WILL GIVE BRAINLIEST

Answers

1. m1 = -9, m2 = 9
2. x1 = -10, x2 = 10
3. n1 = -3, n2= 3
4. x1 = -2, x2 =2

Which is the best example of selecting a systematic random sample?
Two distinct groups are formed from members of a population based on some characteristic, and a random
sample of 50 people is selected from each group.
Members of a population are divided into representative groups, and then every 3rd group is selected until a
sample of 100 people is formed.
Members of a population are listed in order of birthday, and every 5th person is selected until a sample of 100
people is formed.
The first 100 people to respond to a call for participants are selected.

Answers

Using it's concept, it is found that the best example of a systematic random sampling is given by:

Members of a population are listed in order of birthday, and every 5th person is selected until a sample of 100 people is formed.

How are samples classified?

Samples may be classified as:

Convenient: Drawn from a conveniently available pool.Random: All the options into a hat and drawn some of them.Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.Stratified: Also divides the population into groups. Then, a equal proportion of each group is surveyed.

In this problem, we want a systematic sample, that is, every kth person(not group), hence the correct option is:

Members of a population are listed in order of birthday, and every 5th person is selected until a sample of 100 people is formed.

More can be learned about systematic random sampling at https://brainly.com/question/24466382

Answer:

C. Members of a population are listed in order of birthday, and every 5th person is selected until a sample of 100 people is formed.

Step-by-step explanation:

During trimester 2 the math team gave 4 product assignments. The 4 scores were a 50, 90, 62, and 63.
What was the median score of the product assignments?
What was the average score of the product assignments?

Answers

Answer:

median = 62.5, average = 66.25

Step-by-step explanation:

50, 90 , 62 and 63

median = 50 , 62, 63, 90

62 + 63 / 2

125/2

median = 62.5

average = 50 + 90 + 62 + 63 /4

=265/4

average = 66.25

Please help me out with this question

Answers

Answer:

43200

Step-by-step explanation:

2(60*80)

2(80*120)

2(60*120)

add that up

Answer:

43,200

Step-by-step explanation:

I used a surface area calculator, but the formula it gives is

A (2wl+hl+hw), w is width, h is height and l is length. Hope this helps!

The life of light bulbs is distributed normally. The standard deviation of the lifetime is 15 hours and the mean lifetime of a bulb is 590 hours. Find the probability of a bulb lasting for at most 605 hours. Round your answer to four decimal places.

Answers

Answer:

0.8413 = 84.13% probability of a bulb lasting for at most 605 hours.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

The standard deviation of the lifetime is 15 hours and the mean lifetime of a bulb is 590 hours.

This means that [tex]\sigma = 15, \mu = 590[/tex]

Find the probability of a bulb lasting for at most 605 hours.

This is the pvalue of Z when X = 605. So

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

[tex]Z = \frac{605 - 590}{15}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.8413

0.8413 = 84.13% probability of a bulb lasting for at most 605 hours.

ASAP PLEASE!!!!!!!!!
A graphic designer draws an image of a house on the computer. In the real world, the house is 30 feet high. On the computer screen, the house appears 4 inches high. What scale factor did the designer apply to the height of the house when creating the drawing? One foot is the same as 12 inches.

Choices:
A.1 to 30
B.1 to 90
C.1 to 40
D.1 to 120

Answers

B. 1 to 90 I’m pretty sure

what is the area of the triangle shown above

Answers

Answer:

I don't see the triangle...

Is the following number rational, irrational, or nonreal.​

Answers

Answer:

rational i just know it hope it helps you

Answer:

Rational

∛-8

=-2

plz mark me as brainliest.

I solved the first 2 but can anybody finish it, please?

Answers

Answer:

125:200

Step-by-step explanation:

Answer:

the ratio 5 : 8

Caroline has a unique pet chimpanzee that is relatively likely to have twins. Each pregnancy is independent, and
Caroline's chimpanzee has a 60% chance of having 1 baby and a 40% chance of having 2 babies each
pregnancy
If X is a random variable that represents the total number of chimpanzee babies if Caroline's chimpanzee gets
pregnant twice, drag the bars to graph the probability distribution for all possible values of X.

Answers

Answer: 2=.36, 3=.48, 4=.16

Step-by-step explanation:

If we let "S" represent 1 baby and "D" represent 2 babies, the sample space for the chimpanzee's 2 pregnancies is {SS, SD, DS, DD}.

We can find the probability of each possible outcome by multiplying the probability of the independent events leading to that outcome.

Outcomes:. Probability:

SS. .60 x .60 = .36

SD. .60 x .40 = .24

DS. .40 x .60 = .24

DD. .40x .40 =.16

Total. 1.00

Lastly group the similar outcomes. SD+DS= .48

What is the y-value of the vertex of the function f(x)=−(x+8)(x−14)? 3 6 112 121

Answers

Answer:

121

Step-by-step explanation:121 ! just got it right.

Answer:

D)

Step-by-step explanation:

on edge

PLEASE HELPPPPPPPPPP ASAPPPPPPPPPPPPP​

Answers

Answer: Dana

Explanation:
DANA : 64% = 0.64
EMILY : 4/7 = 0.571428571428571
LYDIA : 0.615
TAYLOR: 5/8 = 0.625

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.

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

What is the value of 6 in the number 762

Answers

Answer:

60

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Hi,

Since the 6 is in the tenths place, it's a 60.

I hope this helps :)

If the point (-9,2) is a solution to a linear equation, the point (2,-9) will be a solution to it's inverse. True False​

Answers

If the point (-9,2) is a solution to a linear equation, the point (2,-9) will be a solution to it's inverse is false.

If the point (-9,2) is a solution to a linear equation, it means that when you substitute x = -9 and y = 2 into the equation, it satisfies the equation and makes it true.

However, the point (2,-9) will not necessarily be a solution to the inverse of that equation.

To find the inverse of a linear equation, you need to switch the x and y variables and solve for the new y.

So if the original equation is in the form y = mx + b, the inverse will be in the form x = my + b.

Therefore, the point (2,-9) will only be a solution to the inverse equation if substituting x = 2 and y = -9 into the inverse equation makes it true.

It cannot be determined just based on the fact that (-9,2) is a solution to the original equation.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

Chloe wants to ride her bicycle 52 miles this week. She has already ridden 16 miles. If she rides for 5 more days, what is the average number of miles she would have to ride each day to meet her goal?

Answers

I’m pretty sure 7.2 miles
Answer : 7.2 more miles I think

Because 52 - 16 = 36
36 divided by 5 equals 7.2

Starting point (1, 4) Show me the new coordinates of the point (1, 4) after it is:
Reflected over the line y = x.
Reflected over the line y = −x.
Rotated through 90°clockwise about the origin.
Rotated through 90°counterclockwise about the origin

Answers

Step-by-step explanation:

Reflected over the line y=x is (4,1)

Reflected over the line y=-x is (-4,-1)

Rotated through 90 clockwise about the origin is (4,-1)

Rotated through 90 counterclockwise about the origin is(-4,1)

student were asked to choose their favorite subject if 4/8 of the student chose history and 3/8 chose biology what fraction chose either history or biology

Answers

Answer:

7/8

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

pls help i give you brainliest

Answers

kimi no toriko ni natte ti shi mae ba kitto

PLS ANSWER ASAP! Only answer if you are sure that it is correct & no links or i will report you

Answers

8.5 < x < 2.0. .....

Investigate the parent function for y = x^2. Refer to the previous slide. Make sure a = 1, h = 0, and k = 0.

1. Parent Graph Name:
2. Parent Equation:
3. Interesting properties:(infection point, endpoints, maxima/minima, etc.

NOT A MULTIPLE CHOICE​

Answers

9514 1404 393

Answer:

y=x^2 parent functiony=x^2vertex (minimum) at (0, 0); end behavior (-∞, ∞) and (∞, ∞)

Step-by-step explanation:

1. You can call the graph whatever you like. Since you're graphing the parent function y=x², you might want that in the title.

__

2. The problem statement tells us we're graphing y = x².

__

3. The quadratic function has one turning point on the axis of symmetry. The turning point for the parent function is its vertex at (0, 0). This point is a minimum, because the parent function has a positive coefficient.

The function is even degree with a positive leading coefficient, so the end behavior tends to +∞ for x going to either -∞ or +∞.

_____

Additional comment

If we're to "refer to the previous slide", it would be nice to be able to see that slide. As is, we're guessing at what the question is really after. The basic y=x^2 function will have been studied first thing when nonlinear polynomials are introduced. This should all be very elementary stuff.

Problem of the week, provide step-by-step please!

Answers

Answer:

Step-by-step explanation:

The smallest perfect square that has three different prime numbers as factor is 900

900 = 30 * 30

Factors = 2² * 3² * 5² = 900

_____ ÷ r × r = p
be fast :) easy point for who ever get it

Answers

Answer:

p

Step-by-step explanation:

lol question unclear

Answer:

p

Step-by-step explanation:

if you divide a number by a number and then multiply that same number by that number it is 1. so it is just __=p

Hope that helps :)

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