Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the difference between two population proportionsp 1 andp 2 at the given level of significancealpha using the given sample statistics. Assume the sample statistics are from independent random samples. Claim:p 1equalsp 2,alphaequals0.10Sample statistics:x 1equals148,n 1equals168 andx 2equals91,n 2equals214Can a normal sampling distribution be used? Yes NoIdentify the null and alternative hypotheses. Choose the correct answer below. A.Upper H 0:p 1equalsp 2Upper H Subscript a:p 1greater thanp 2 B.Upper H 0:p 1not equalsp 2Upper H Subscript a:p 1equalsp 2 C.Upper H 0:p 1equalsp 2Upper H Subscript a:p 1not equalsp 2 D.Upper H 0:p 1less thanp 2Upper H Subscript a:p 1equalsp 2 E.A normal sampling distribution cannot be used, so the claim cannot be tested.Find the critical values. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A.The critical values areminusz 0equalsnothing and z 0equalsnothing.(Round to two decimal places as needed.) B.A normal sampling distribution cannot be used, so the claim cannot be tested.Find the standardized test statistic. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A.zequalsnothing (Round to two decimal places as needed.) B.A normal sampling distribution cannot be used, so the claim cannot be tested.State the conclusion. Choose the correct answer below. A.Fail to reject Upper H 0.There isinsufficient evidence that there is a difference betweenp 1 andp 2. B.Reject Upper H 0.There isinsufficient evidence that there is a difference betweenp 1 andp 2. C.Fail to reject Upper H 0.There issufficient evidence that there is a difference betweenp 1 andp 2. D.Reject Upper H 0.There issufficient evidence that there is a difference betweenp 1 andp 2. E.A normal sampling distribution cannot be used, so the claim cannot be tested.

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Description: Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the difference between two population proportionsp 1 andp 2 at the given level of significancealpha using the given sample statistics. Assume the sa

Checking conditions: n1p^1=168×148168=148>10 n11-p^1=168×1-148168=20>10…

Answered: Decide whether the normal sampling…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the difference between two population proportions

p 1

and

p 2

at the given level of significance

alpha

using the given sample statistics. Assume the sample statistics are from independent random samples.

Claim:

p 1

equalsp 2

alpha

equals0.10

Sample statistics:

x 1

equals148

n 1

equals168

and

x 2

equals91

n 2

equals214

Can a normal sampling distribution be used?

Yes

Identify the null and alternative hypotheses. Choose the correct answer below.

Upper H 0

p 1

equalsp 2

Upper H Subscript a

p 1

greater thanp 2

Upper H 0

p 1

not equalsp 2

Upper H Subscript a

p 1

equalsp 2

Upper H 0

p 1

equalsp 2

Upper H Subscript a

p 1

not equalsp 2

Upper H 0

p 1

less thanp 2

Upper H Subscript a

p 1

equalsp 2

A normal sampling distribution cannot be used, so the claim cannot be tested.

Find the critical values. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.

The critical values are

minus

z 0equalsnothing

and

z 0

equalsnothing

(Round to two decimal places as needed.)

A normal sampling distribution cannot be used, so the claim cannot be tested.

Find the standardized test statistic. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

zequals

nothing

(Round to two decimal places as needed.)

A normal sampling distribution cannot be used, so the claim cannot be tested.

State the conclusion. Choose the correct answer below.

Fail to reject

Upper H 0

There is

insufficient

evidence that there is a difference between

p 1

and

p 2

Reject

Upper H 0

There is

insufficient

evidence that there is a difference between

p 1

and

p 2

Fail to reject

Upper H 0

There is

sufficient

evidence that there is a difference between

p 1

and

p 2

Reject

Upper H 0

There is

sufficient

evidence that there is a difference between

p 1

and

p 2

A normal sampling distribution cannot be used, so the claim cannot be tested.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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