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
people with
having a common attribute. The second sample consists of
people with
of them having the same common attribute. Compare the results from a hypothesis test of
equalsp 2
(with a
significance level) and a
confidence
minusp 2
Question content area bottom
Part 1
greater than or equalsp 2
not equalsp 2
equalsp 2
greater thanp 2
equalsp 2
less thanp 2
not equalsp 2
equalsp 2
less than or equalsp 2
not equalsp 2
equalsp 2
not equalsp 2
Part 2
Part 3
Part 4
not equalsp 2
Part 5
confidence interval is
less thanleft parenthesis p 1 minus p 2 right parenthesisless thanenter your response here
Part 6
Part 7
p 2
and the confidence interval suggests that
p 2.
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