Conduct the following 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 that the samples were obtained independently using simple random sampling. Test whether p₁ # P2. Sample data are x₁ =30, n₁ = 254, x2 = 38, and n₂ = 301. (a) Determine the null and alternative hypotheses. Choose the correct answer below. OA. Ho: P₁ P2 versus H₁: P₁ P2 OC. Ho: P₁ P₂ versus H₁: P₁ P2 (b) The test statistic zo is. (Round to two decimal places as needed.) (c) The P-value is (Round to three decimal places as needed.) Test the null hypothesis. Choose the correct conclusion below. C O B. Ho: P1 P2 versus H₁: P₁ P₂- OB. Reject the null hypothesis because there is 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 not sufficient evidence to conclude that p₁

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Conduct the following 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 that the samples were obtained
independently using simple random sampling.
Test whether p₁ #P2. Sample data are x₁ =30, n₁ = 254, x2 = 38, and n₂ = 301.
(a) Determine the null and alternative hypotheses. Choose the correct answer below.
OA. Ho: P₁ P2 versus H₁: P₁ > P2
OC. Ho: P₁ P₂ versus H₁: P₁ P2
(b) The test statistic zo is. (Round to two decimal places as needed.)
(c) The P-value is
(Round to three decimal places as needed.)
Test the null hypothesis. Choose the correct conclusion below.
C...
O B. Ho: P1 P2 versus H₁: P₁ <P2
O D. Ho: P₁0 versus H₁: P₁ = 0
O A. Do not reject the null hypothesis because there is sufficient evidence to conclude that p₁>P2-
OB. Reject the null hypothesis because there is sufficient evidence to conclude that p₁ #P₂2-
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 not sufficient evidence to conclude that p₁ <P2.
Transcribed Image Text:Conduct the following 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 that the samples were obtained independently using simple random sampling. Test whether p₁ #P2. Sample data are x₁ =30, n₁ = 254, x2 = 38, and n₂ = 301. (a) Determine the null and alternative hypotheses. Choose the correct answer below. OA. Ho: P₁ P2 versus H₁: P₁ > P2 OC. Ho: P₁ P₂ versus H₁: P₁ P2 (b) The test statistic zo is. (Round to two decimal places as needed.) (c) The P-value is (Round to three decimal places as needed.) Test the null hypothesis. Choose the correct conclusion below. C... O B. Ho: P1 P2 versus H₁: P₁ <P2 O D. Ho: P₁0 versus H₁: P₁ = 0 O A. Do not reject the null hypothesis because there is sufficient evidence to conclude that p₁>P2- OB. Reject the null hypothesis because there is sufficient evidence to conclude that p₁ #P₂2- 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 not sufficient evidence to conclude that p₁ <P2.
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