Two different simple random samples are drawn from two different populations. The first sample consists of 30 people with 14 having a common attribute. The second sample consists of 1900 people with 1357 of them having the same common attribute. Compare the results from a hypothesis test of p 1 equalsp 2 (with a 0.01 significance level) and a 99 % confidence interval estimate of p 1 minusp 2 . Question content area bottom Part 1 What are the null and alternative hypotheses for the hypothesis test? A. Upper H 0 : p 1 greater than or equalsp 2 Upper H 1 : p 1 not equalsp 2 B. Upper H 0 : p 1 equalsp 2 Upper H 1 : p 1 greater thanp 2 C. Upper H 0 : p 1 equalsp 2 Upper H 1 : p 1 less thanp 2 D. Upper H 0 : p 1 not equalsp 2 Upper H 1 : p 1 equalsp 2 E. Upper H 0 : p 1 less than or equalsp 2 Upper H 1 : p 1 not equalsp 2 F. Upper H 0 : p 1 equalsp 2 Upper H 1 : p 1 not equalsp 2 Part 2 Identify the test statistic. enter your response here (Round to two decimal places as needed.) Part 3 Identify the critical value(s). enter your response here (Round to three decimal places as needed. Use a comma to separate answers as needed.) Part 4 What is the conclusion based on the hypothesis test? The test statistic is ▼ not in in the critical region, so ▼ fail to reject reject the null hypothesis. There is ▼ insufficient sufficient evidence to conclude that p 1 not equalsp 2 . Part 5 The 99 % confidence interval is enter your response here less thanleft parenthesis p 1 minus p 2 right parenthesisless thanenter your response here . (Round to three decimal places as needed.) Part 6 What is the conclusion based on the confidence interval? Since 0 is ▼ included not included in the interval, it indicates to ▼ reject fail to reject the null hypothesis. Part 7 How do the results from the hypothesis test and the confidence interval compare? The results are ▼ different the same , since the hypothesis test suggests that p 1 ▼ less than less than or equals greater than or equals greater than not equals equals p 2 , and the confidence interval suggests that p 1 ▼ not equals greater than greater than or equals less than less than or equals equals p 2.

Two different simple random samples are drawn from two different populations. The first sample consists of 30 people with 14 having a common attribute. The second sample consists of 1900 people with 1357 of them having the same common attribute. Compare the results from a hypothesis test of p 1 equalsp 2 (with a 0.01 significance level) and a 99 % confidence interval estimate of p 1 minusp 2 . Question content area bottom Part 1 What are the null and alternative hypotheses for the hypothesis test? A. Upper H 0 : p 1 greater than or equalsp 2 Upper H 1 : p 1 not equalsp 2 B. Upper H 0 : p 1 equalsp 2 Upper H 1 : p 1 greater thanp 2 C. Upper H 0 : p 1 equalsp 2 Upper H 1 : p 1 less thanp 2 D. Upper H 0 : p 1 not equalsp 2 Upper H 1 : p 1 equalsp 2 E. Upper H 0 : p 1 less than or equalsp 2 Upper H 1 : p 1 not equalsp 2 F. Upper H 0 : p 1 equalsp 2 Upper H 1 : p 1 not equalsp 2 Part 2 Identify the test statistic. enter your response here (Round to two decimal places as needed.) Part 3 Identify the critical value(s). enter your response here (Round to three decimal places as needed. Use a comma to separate answers as needed.) Part 4 What is the conclusion based on the hypothesis test? The test statistic is ▼ not in in the critical region, so ▼ fail to reject reject the null hypothesis. There is ▼ insufficient sufficient evidence to conclude that p 1 not equalsp 2 . Part 5 The 99 % confidence interval is enter your response here less thanleft parenthesis p 1 minus p 2 right parenthesisless thanenter your response here . (Round to three decimal places as needed.) Part 6 What is the conclusion based on the confidence interval? Since 0 is ▼ included not included in the interval, it indicates to ▼ reject fail to reject the null hypothesis. Part 7 How do the results from the hypothesis test and the confidence interval compare? The results are ▼ different the same , since the hypothesis test suggests that p 1 ▼ less than less than or equals greater than or equals greater than not equals equals p 2 , and the confidence interval suggests that p 1 ▼ not equals greater than greater than or equals less than less than or equals equals p 2.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question content area bottom

Part 1

What are the null and alternative hypotheses for the hypothesis test?

Upper H 0

p 1

greater than or equalsp 2

Upper H 1

p 1

not equalsp 2

Upper H 0

p 1

equalsp 2

Upper H 1

p 1

greater thanp 2

Upper H 0

p 1

equalsp 2

Upper H 1

p 1

less thanp 2

Upper H 0

p 1

not equalsp 2

Upper H 1

p 1

equalsp 2

Upper H 0

p 1

less than or equalsp 2

Upper H 1

p 1

not equalsp 2

Upper H 0

p 1

equalsp 2

Upper H 1

p 1

not equalsp 2

Part 2

Identify the test statistic.

enter your response here

(Round to two decimal places as needed.)

Part 3

Identify the critical value(s).

enter your response here

(Round to three decimal places as needed. Use a comma to separate answers as needed.)

Part 4

What is the conclusion based on the hypothesis test?

The test statistic is

▼

not in

the critical region, so

▼

fail to reject

reject

the null hypothesis. There is

▼

insufficient

sufficient

evidence to conclude that

p 1

not equalsp 2

Part 5

The

confidence interval is

enter your response here

less thanleft parenthesis p 1 minus p 2 right parenthesisless thanenter your response here

(Round to three decimal places as needed.)

Part 6

What is the conclusion based on the confidence interval?

Since 0 is

▼

included

not included

in the interval, it indicates to

▼

reject

fail to reject

the null hypothesis.

Part 7

How do the results from the hypothesis test and the confidence interval compare?

The results are

▼

different

the same

since the hypothesis test suggests that

p 1

▼

less than

less than or equals

greater than or equals

greater than

not equals

equals

p 2

and the confidence interval suggests that

p 1

▼

not equals

greater than

greater than or equals

less than

less than or equals

equals

p 2.

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