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 1900 people with 1369 of them having the same common attribute. Compare the results from a hypothesis test of p, = P2 (with a 0.01 significance level) and a 99% confidence interval estimate of p, -P2- What are the null and alternative hypotheses for the hypothesis test? O A. Ho: P1 * P2 O B. Ho: P1 =P2 H: P, *P2 OC. Ho: P1 =P2 H: P, P2 H: P, #P2 Identify the test statistic. (Round to two decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed. Use a comma to separate answers as needed.) What is the conclusion based on the hypothesis test? The test statistic is v the critical region, so V the null hypothesis. There is v evidence to conclude that pP, P2- The 99% confidence interval is < (P1 -P2) <

College Algebra (MindTap Course List)
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Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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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 1900 people with 1369 of them having the same common
attribute. Compare the results from a hypothesis test of p, = P2 (with a 0.01 significance level) and a 99% confidence interval estimate of p, - p2.
What are the null and alternative hypotheses for the hypothesis test?
O A. Ho: P1 # p2
H1: P1 = P2
В. Но: Р1 3Р2
H1: P1 #P2
C. Ho: P1 = P2
H1: P1 <P2
E. Ho: P1 = P2
O D. Ho: P1 sP2
H1: P1 # P2
O F. Ho: P1 2 P2
H1: P1 # P2
H1: P1 > P2
Identify the test statistic.
(Round to two decimal places as needed.)
Identify the critical value(s).
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
What is the conclusion based on the hypothesis test?
The test statistic is
the critical region, so
the null hypothesis. There is
evidence to conclude that
P1
# P2.
The 99% confidence interval is < (P1 - P2)
<
(Round to three decimal places as needed.)
Transcribed Image Text: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 1900 people with 1369 of them having the same common attribute. Compare the results from a hypothesis test of p, = P2 (with a 0.01 significance level) and a 99% confidence interval estimate of p, - p2. What are the null and alternative hypotheses for the hypothesis test? O A. Ho: P1 # p2 H1: P1 = P2 В. Но: Р1 3Р2 H1: P1 #P2 C. Ho: P1 = P2 H1: P1 <P2 E. Ho: P1 = P2 O D. Ho: P1 sP2 H1: P1 # P2 O F. Ho: P1 2 P2 H1: P1 # P2 H1: P1 > P2 Identify the test statistic. (Round to two decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed. Use a comma to separate answers as needed.) What is the conclusion based on the hypothesis test? The test statistic is the critical region, so the null hypothesis. There is evidence to conclude that P1 # P2. The 99% confidence interval is < (P1 - P2) < (Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
Since 0 is
in the interval, it indicates to
the null hypothesis.
How do the results from the hypothesis test and the confidence interval compare?
The results are
since the hypothesis test suggests that p1
P2, and the confidence interval suggests that p1
P2.
Transcribed Image Text:What is the conclusion based on the confidence interval? Since 0 is in the interval, it indicates to the null hypothesis. How do the results from the hypothesis test and the confidence interval compare? The results are since the hypothesis test suggests that p1 P2, and the confidence interval suggests that p1 P2.
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