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You wish to test the following claim (Ha) at a significance level of a = 0.10. H.:P1 = P2 Ha:P1 < P2 You obtain 55% successes in a sample of size nj = 211 from the first population. You obtain 68.9% successes in a sample of size n2 = 363 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 critical value for this test? (Report answer accurate to three decimal places.) critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = The test statistic is... O in the critical region O not in the critical region 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 less than the second population proportion. O There is not sufficient evidence to warrant rejection of the claim that the first population proportion is less than the second population proportion. The sample data support the claim that the first population proportion is less than the second population proportion. O There is not sufficient sample evidence to support the claim that the first population proportion is less than the second population proportion.

You wish to test the following claim (Ha) at a significance level of a = 0.10. H.:P1 = P2 Ha:P1 < P2 You obtain 55% successes in a sample of size nj = 211 from the first population. You obtain 68.9% successes in a sample of size n2 = 363 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 critical value for this test? (Report answer accurate to three decimal places.) critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = The test statistic is... O in the critical region O not in the critical region 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 less than the second population proportion. O There is not sufficient evidence to warrant rejection of the claim that the first population proportion is less than the second population proportion. The sample data support the claim that the first population proportion is less than the second population proportion. O There is not sufficient sample evidence to support the claim that the first population proportion is less than the second population proportion.

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 = 0.10. H.:P1 = P2 Ha:P1 < P2 You obtain 55% successes in a sample of size nj = 211 from the first population. You obtain 68.9% successes in a sample of size n2 = 363 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 critical value for this test? (Report answer accurate to three decimal places.) critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = The test statistic is... O in the critical region not in the critical region This test statistic leads to a decision to... O reject the null O accept the null 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 less than the second population proportion. O There is not sufficient evidence to warrant rejection of the claim that the first population proportion is less than the second population proportion. O The sample data support the claim that the first population proportion is less than the second population proportion. O There is not sufficient sample evidence to support the claim that the first population proportion is less than the second population proportion.
Transcribed Image Text:You wish to test the following claim (Ha) at a significance level of a = 0.10. H.:P1 = P2 Ha:P1 < P2 You obtain 55% successes in a sample of size nj = 211 from the first population. You obtain 68.9% successes in a sample of size n2 = 363 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 critical value for this test? (Report answer accurate to three decimal places.) critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = The test statistic is... O in the critical region not in the critical region This test statistic leads to a decision to... O reject the null O accept the null 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 less than the second population proportion. O There is not sufficient evidence to warrant rejection of the claim that the first population proportion is less than the second population proportion. O The sample data support the claim that the first population proportion is less than the second population proportion. O There is not sufficient sample evidence to support the claim that the first population proportion is less than the second population proportion.
Expert Solution
Step 1

The given information is,

Statistics homework question answer, step 1, image 1

Critical value:

By using z tables, the critical value of z at 10% level of significance for left tailed test is,

-z0.10=-1.282

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 = -3.340

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