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You wish to test the following claim (Ha) at a significance level of a = 0.002. H,:P1 = P2 Ha:P1 7 P2 You obtain 41.7% successes in a sample of size n1 = 508 from the first population. You obtain 34.2% successes in a sample of size n2 = 380 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... less than (or equal to) a greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proprtion. O There is not sufficient evidence to warrant rejection of the claim that the first population proportic is not equal to the second population proprtion. O The sample data support the claim that the first population proportion is not equal to the second population proprtion. O There is not sufficient sample evidence to support the claim that the first population proportion is not equal to the second population proprtion.

You wish to test the following claim (Ha) at a significance level of a = 0.002. H,:P1 = P2 Ha:P1 7 P2 You obtain 41.7% successes in a sample of size n1 = 508 from the first population. You obtain 34.2% successes in a sample of size n2 = 380 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... less than (or equal to) a greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proprtion. O There is not sufficient evidence to warrant rejection of the claim that the first population proportic is not equal to the second population proprtion. O The sample data support the claim that the first population proportion is not equal to the second population proprtion. O There is not sufficient sample evidence to support the claim that the first population proportion is not equal to the second population proprtion.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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You wish to test the following claim (Ha) at a significance level of a = 0.002. H.:P1 = P2 Ha:P1 + P2 You obtain 41.7% successes in a sample of size n1 = 508 from the first population. You obtain 34.2% successes in a sample of size n2 = 380 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) greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proprtion. O There is not sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proprtion. O The sample data support the claim that the first population proportion is not equal to the second population proprtion. O There is not sufficient sample evidence to support the claim that the first population proportion is not equal to the second population proprtion.
Transcribed Image Text:You wish to test the following claim (Ha) at a significance level of a = 0.002. H.:P1 = P2 Ha:P1 + P2 You obtain 41.7% successes in a sample of size n1 = 508 from the first population. You obtain 34.2% successes in a sample of size n2 = 380 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) greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proprtion. O There is not sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proprtion. O The sample data support the claim that the first population proportion is not equal to the second population proprtion. O There is not sufficient sample evidence to support the claim that the first population proportion is not equal to the second population proprtion.
Expert Solution
Step 1

The given information is,

Statistics homework question answer, step 1, image 1

Step 2

The pooled proportion or weighted estimate of p is,

Statistics homework question answer, step 2, image 1

The value of test statistic is,

Statistics homework question answer, step 2, image 2
Thus, the value of test statistic is, z = 2.273

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