You wish to test the following claim (Ha) at a significance level of a = = 0.05.Ho: P₁ = P2P2Ha: P₁You obtain 17.6% successes in a sample of size ni 598 from the first population. You obtain 11%successes in a sample of size n2 = 536 from the second population. For this test, you should NOT use thecontinuity correction, and you should use the normal distribution as an approximation for the binomialdistribution.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...=O less than (or equal to) aO greater than aThis test statistic leads to a decision to...O reject the null hypothesisaccept the null hypothesisfail 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 population proportion isgreater than the second population proportion.O There is not sufficient evidence to warrant rejection of the claim that the first population proportionis greater than the second population proportion.O The sample data support the claim that the first population proportion is greater than the secondpopulation proportion.O There is not sufficient sample evidence to support the claim that the first population proportion isgreater than the second population proportion.

The following information has been given: p^1=0.176 p^2=0.11n1=598 n2=536

You wish to test the following claim (Ha) at a significance level of a = 0.05. Ho: P1 = P2 Ha: P1 P2 You obtain 17.6% successes in a sample of size n₁ = 598 from the first population. You obtain 11% successes in a sample of size n2 = 536 from the second population. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation 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... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null hypothesis O accept the null hypothesis O fail to reject the null hypothesis As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion. O There is not sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion. O The sample data support the claim that the first population proportion is greater than the second population proportion. O There is not sufficient sample evidence to support the claim that the first population proportion is greater than the second population proportion.

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

Section13.3: Special Probability Density Functions

Problem 9E