Conduct a test at the x = 0.10 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p₁>P2. The sample data are x₁ = 127, n₁ =257, x2= 133, and n₂ =313. (a) Choose the correct null and alternative hypotheses below. OA. Ho: P₁ P2 versus H₁: P₁ P2 OB. Ho: P₁ P2 versus H₁: P₁ P2 OC. Ho: P₁0 versus H₁: P₁ #0 O D. Ho: P₁ P2 versus H₁: P₁ P2 (b) Determine the test statistic. Zo= (Round to two decimal places as needed.) (c) Determine the P-value. The P-value is (Round to three decimal places as needed.) What is the result of this hypothesis test? C... O A. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p₁ P2. O D. Reject the null hypothesis because there is sufficient evidence to conclude that p₁

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Conduct a test at the x = 0.10 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently
from a large population using simple random sampling.
Test whether p₁>P2. The sample data are x₁ = 127, n₁ =257, x2= 133, and n₂ = 313.
(a) Choose the correct null and alternative hypotheses below.
OA. Ho: P₁ P2 versus H₁: P₁ P2
OB. Ho: P₁ P2 versus H₁: P₁ P2
OC. Ho: P₁0 versus H₁: P₁ #0
O D. Ho: P₁ P2 versus H₁: P₁ P2
(b) Determine the test statistic.
Zo= (Round to two decimal places as needed.)
(c) Determine the P-value.
The P-value is
(Round to three decimal places as needed.)
What is the result of this hypothesis test?
O A. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p₁ <P2-
O B. Do not reject the alternative hypothesis because there is sufficient evidence to conclude that p₁ #P₂.
OC. Reject the null hypothesis because there is sufficient evidence to conclude that p₁ > P2
O D. Reject the null hypothesis because there is sufficient evidence to conclude that p₁ <P2.
Transcribed Image Text:Conduct a test at the x = 0.10 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p₁>P2. The sample data are x₁ = 127, n₁ =257, x2= 133, and n₂ = 313. (a) Choose the correct null and alternative hypotheses below. OA. Ho: P₁ P2 versus H₁: P₁ P2 OB. Ho: P₁ P2 versus H₁: P₁ P2 OC. Ho: P₁0 versus H₁: P₁ #0 O D. Ho: P₁ P2 versus H₁: P₁ P2 (b) Determine the test statistic. Zo= (Round to two decimal places as needed.) (c) Determine the P-value. The P-value is (Round to three decimal places as needed.) What is the result of this hypothesis test? O A. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p₁ <P2- O B. Do not reject the alternative hypothesis because there is sufficient evidence to conclude that p₁ #P₂. OC. Reject the null hypothesis because there is sufficient evidence to conclude that p₁ > P2 O D. Reject the null hypothesis because there is sufficient evidence to conclude that p₁ <P2.
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