wo 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 2200 people with 1598 of them having the same common attribute. Compare the results from hypothesis test of p₁ = P₂ (with a 0.01 significance level) and a 99% confidence interval estimate of p₁ -P₂- What are the null and alternative hypotheses for the hypothesis test? A. Ho: P₁ P₂ H₁: P₁ P2 D. Ho: P₁ = P₂ H₁: P₁ P₂ dentify the test statistic. 7 Round to two decimal places as needed.) dentify the critical value(s). 7 Round to three decimal places as needed. Use a comma to separate answers as needed.) What is the conclusion based on the hypothesis test? he test statistic is the critical region, so he 99% confidence interval is < (P₁-P₂) <- needed.) Round three decimal places What is the conclusion based on the confidence interval? ince 0 is in the interval, it indicates to the null hypothesis. low do the results from the hypothesis test and the confidence interval compare? The results are the null hypothesis. There is OB. Ho: P₁ P₂ H₁: P₁ P2 OE. Ho: P₁ P₂ H₁: P₁ P₂ ▾ evidence conclude that p, #P₂ since the hypothesis test suggests that P₁ P₂, and the confidence interval suggests that p₁P₂ OC. Ho: P₁ SP₂ H₁: P₁ P₂ OF. Ho: P₁ P₂ H₁: P₁ P2

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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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 2200 people with 1598 of them having the same common attribute. Compare the results from
a hypothesis test of P₁ P₂ (with a 0.01 significance level) and a 99% confidence interval estimate of P₁ -P₂-
What are the null and alternative hypotheses for the hypothesis test?
OA. Ho: P₁ P₂
H₁: P1 P2
O D. Ho: 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 99% confidence interval is < (P₁-P₂) <L
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
Since 0 is
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
in the interval, it indicates to
the null hypothesis. There is
O B. Ho: P₁ = P₂2
H₁: P₁ #P2
O E. Ho: P₁ = P₂2
H₁: P₁ <P2
evidence to conclude that p₁ # P2-
and the confidence interval suggests that p₁
P2-
OC. Ho: P₁ P₂
H₁: P₁ P2
OF. Ho: P₁ P₂
H₁: P₁ = P2
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 2200 people with 1598 of them having the same common attribute. Compare the results from a hypothesis test of P₁ P₂ (with a 0.01 significance level) and a 99% confidence interval estimate of P₁ -P₂- What are the null and alternative hypotheses for the hypothesis test? OA. Ho: P₁ P₂ H₁: P1 P2 O D. Ho: 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 99% confidence interval is < (P₁-P₂) <L (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? Since 0 is 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 in the interval, it indicates to the null hypothesis. There is O B. Ho: P₁ = P₂2 H₁: P₁ #P2 O E. Ho: P₁ = P₂2 H₁: P₁ <P2 evidence to conclude that p₁ # P2- and the confidence interval suggests that p₁ P2- OC. Ho: P₁ P₂ H₁: P₁ P2 OF. Ho: P₁ P₂ H₁: P₁ = P2
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