You wish to test the following claim (H₁) at a significance level of a = 0.05.Ho: P₁ = P2Ha:P₁ P2You obtain 58% successes in a sample of size n₁ = 790 from the first population. You obtain48.6% successes in a sample of size n₂ = 276 from the second population. For this test, youshould NOT use the continuity correction, and you should use the normal distribution as anapproximation for the binomial distribution.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic =What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =The p-value is...less than (or equal to) aO greater than aThis test statistic leads to a decision to...reject the null hypothesisaccept the null hypothesisO fail to reject the null hypothesisAs such, the final conclusion is that...O There is sufficient evidence to warrant rejection of the claim that the first populationproportion is greater than the second population proportion.There is not sufficient evidence to warrant rejection of the claim that the first populationproportion is greater than the second population proportion.O The sample data support the claim that the first population proportion is greater than thesecond population proportion.O There is not sufficient sample evidence to support the claim that the first populationproportion is greater than the second population proportion. You wish to test the following claim (H₁) at a significance level of a = 0.05.Ho: P₁ = P2Ha:P₁ P2You obtain 58% successes in a sample of size n₁ = 790 from the first population. You obtain48.6% successes in a sample of size n₂ = 276 from the second population. For this test, youshould NOT use the continuity correction, and you should use the normal distribution as anapproximation for the binomial distribution.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic =What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =The p-value is...less than (or equal to) aO greater than aThis test statistic leads to a decision to...reject the null hypothesisaccept the null hypothesisO fail to reject the null hypothesisAs such, the final conclusion is that...O There is sufficient evidence to warrant rejection of the claim that the first populationproportion is greater than the second population proportion.There is not sufficient evidence to warrant rejection of the claim that the first populationproportion is greater than the second population proportion.O The sample data support the claim that the first population proportion is greater than thesecond population proportion.O There is not sufficient sample evidence to support the claim that the first populationproportion is greater than the second population proportion.

Question

You wish to test the following claim (H₁) at a significance level of a = 0.05.Ho: P₁ = P2Ha:P₁ > P2You obtain 58% successes in a sample of size n₁ = 790 from the first population. You obtain48.6% successes in a sample of size n₂ = 276 from the second population. For this test, youshould NOT use the continuity correction, and you should use the normal distribution as anapproximation for the binomial distribution.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic =What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =The p-value is...less than (or equal to) aO greater than aThis test statistic leads to a decision to...reject the null hypothesisaccept the null hypothesisO fail to reject the null hypothesisAs such, the final conclusion is that...O There is sufficient evidence to warrant rejection of the claim that the first populationproportion is greater than the second population proportion.There is not sufficient evidence to warrant rejection of the claim that the first populationproportion is greater than the second population proportion.O The sample data support the claim that the first population proportion is greater than thesecond population proportion.O There is not sufficient sample evidence to support the claim that the first populationproportion is greater than the second population proportion. You wish to test the following claim (H₁) at a significance level of a = 0.05.Ho: P₁ = P2Ha:P₁ > P2You obtain 58% successes in a sample of size n₁ = 790 from the first population. You obtain48.6% successes in a sample of size n₂ = 276 from the second population. For this test, youshould NOT use the continuity correction, and you should use the normal distribution as anapproximation for the binomial distribution.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic =What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =The p-value is...less than (or equal to) aO greater than aThis test statistic leads to a decision to...reject the null hypothesisaccept the null hypothesisO fail to reject the null hypothesisAs such, the final conclusion is that...O There is sufficient evidence to warrant rejection of the claim that the first populationproportion is greater than the second population proportion.There is not sufficient evidence to warrant rejection of the claim that the first populationproportion is greater than the second population proportion.O The sample data support the claim that the first population proportion is greater than thesecond population proportion.O There is not sufficient sample evidence to support the claim that the first populationproportion is greater than the second population proportion.

Accepted Answer

Answered: Image /qna-images/answer/32b094d0-9e36-4fb6-90ea-f15a53019f15.jpg