K Conduct a test at the α = 0.05 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 = 116, n₁ = 244, x2 = 132, 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 OD. Ho p₁ =0 versus H₁:.p₁ #0 (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? OA. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p₁ #p2- OB. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p₁ P2- OD. Reject the null hypothesis because there is sufficient evidence to conclude that p₁

Auditing: A Risk Based-Approach (MindTap Course List)
11th Edition
ISBN:9781337619455
Author:Karla M Johnstone, Audrey A. Gramling, Larry E. Rittenberg
Publisher:Karla M Johnstone, Audrey A. Gramling, Larry E. Rittenberg
Chapter8: Specialized Audit Tools: Attributes Sampling, Monetary Unit Sampling, And Data Analytics Tools
Section: Chapter Questions
Problem 35CYBK
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Conduct a test at the α = 0.05 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 = 116, n₁ = 244, x2 = 132, 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 P1 P2 versus H₁: P₁ > P2
OD. Ho p₁ =0 versus H₁:.p₁ #0
(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?
OA. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p₁ #p2-
OB. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p₁ <P2-
OC. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p₁ > P2-
OD. Reject the null hypothesis because there is sufficient evidence to conclude that p₁ <P2-
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Transcribed Image Text:K Conduct a test at the α = 0.05 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 = 116, n₁ = 244, x2 = 132, 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 P1 P2 versus H₁: P₁ > P2 OD. Ho p₁ =0 versus H₁:.p₁ #0 (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? OA. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p₁ #p2- OB. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p₁ <P2- OC. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p₁ > P2- OD. Reject the null hypothesis because there is sufficient evidence to conclude that p₁ <P2- Next
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