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Need Help finding correct test statistic and p-value. Both listed are incorrect!

Need Help finding correct test statistic and p-value. Both listed are incorrect!

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Need Help finding correct test statistic and p-value. Both listed are incorrect!

 

You wish to test the following claim (Ha) at a significance level of a = 0.002. Ho: P₁ = P2 Ha: P₁ P2 You obtain 36.9% successes in a sample of size n₁ = 799 from the first population. You obtain 35.3% successes in a sample of size n₂ = 465 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 = 0.572 What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = 0.2837 × The p-value is... O less than (or equal to) a Ogreater 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. There is not sufficient sample evidence to support the claim that the first population proportion is greater than the second population proportion.
Transcribed Image Text:You wish to test the following claim (Ha) at a significance level of a = 0.002. Ho: P₁ = P2 Ha: P₁ P2 You obtain 36.9% successes in a sample of size n₁ = 799 from the first population. You obtain 35.3% successes in a sample of size n₂ = 465 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 = 0.572 What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = 0.2837 × The p-value is... O less than (or equal to) a Ogreater 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. There is not sufficient sample evidence to support the claim that the first population proportion is greater than the second population proportion.
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