Two different simple random samples are drawn from two different populations. The first sample consists of 20 people with 9 having a common attribute. The second sample consists of 2100 people with 1485 of them having the same common attribute. Compare the results from a hypothesis test of p 1equalsp 2 (with a 0.01 significance level) and a 99% confidence interval estimate of p 1minusp 2.
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Part 1
What are the null and alternative hypotheses for the hypothesis test?
A.
Upper H 0: p 1not equalsp 2
Upper H 1: p 1equalsp 2
B.
Upper H 0: p 1equalsp 2
Upper H 1: p 1greater thanp 2
C.
Upper H 0: p 1equalsp 2
Upper H 1: p 1not equalsp 2
D.
Upper H 0: p 1equalsp 2
Upper H 1: p 1less thanp 2
E.
Upper H 0: p 1less than or equalsp 2
Upper H 1: p 1not equalsp 2
F.
Upper H 0: p 1greater than or equalsp 2
Upper H 1: p 1not 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
▼
in
not in
the critical region, so
▼
reject
fail to reject
the null hypothesis. There is
▼
sufficient
insufficient
evidence to conclude that p 1not equalsp 2.
Part 5
The 99% confidence interval is
enter your response hereless thanleft parenthesis p 1 minus p 2 right parenthesisless than
enter your response here.
(Round to three decim
p 2p2 Part 2 Identify the test statistic. zequals=enter your response here (Round to two decimal places as needed.) Part 3 Identify the P-value. P-valueequals=enter your response here (Round to three decimal places as needed.) Part 4 What is the conclusion based on the hypothesis test? The P-value is ▼ less than greater than the significance level of alphaαequals=0.010.01, so ▼ reject fail to reject the null hypothesis. There ▼ is is not sufficient evidence to support the claim that the fatality rate is higher for those not wearing seat belts. Part 5 b. Test the claim by constructing an appropriate confidence interval. The appropriate confidence interval is enter your response hereless than