What are the null and alternative hypotheses for the hypothesis test? OC. Ho: P, * P2 O A. Ho: P1 SP2 H: P, P2 O B. Ho: P, 2 P2 H:P1 +P2 H4: P =P2 O D. Ho: P1 = P2 H;: P, > P2 O E. Hg: P1 =P2 H: P1

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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15.

Two different simple random samples are drawn from two different populations. The first sample consists of 40 people with 18 having a common attribute. The second sample consists of 2000 people with 1404 of them having the same common
attribute. Compare the results from a hypothesis test of p, = p, (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
В. Но: Р1 2 Р2
C. Ho: P1 + P2
H1: P1 = P2
H: P1 # P2
H1: P1 #P2
O D. Ho: P1 = P2
H4: P1 > P2
O E. Ho: P1 = P2
H1:P1 <P2
O F. Ho: P1 = 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 critical region, so
+ P2:
The test statistic is
the null hypothesis. There is
evidence to conclude that
P1
(P1 - P2)
(Round to three decimal places as needed.)
The 99% confidence interval is
<
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 pa
P2.
Transcribed Image Text:Two different simple random samples are drawn from two different populations. The first sample consists of 40 people with 18 having a common attribute. The second sample consists of 2000 people with 1404 of them having the same common attribute. Compare the results from a hypothesis test of p, = p, (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 В. Но: Р1 2 Р2 C. Ho: P1 + P2 H1: P1 = P2 H: P1 # P2 H1: P1 #P2 O D. Ho: P1 = P2 H4: P1 > P2 O E. Ho: P1 = P2 H1:P1 <P2 O F. Ho: P1 = 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 critical region, so + P2: The test statistic is the null hypothesis. There is evidence to conclude that P1 (P1 - P2) (Round to three decimal places as needed.) The 99% confidence interval is < 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 pa P2.
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