You wish to test the following claim (H1) at a significance level of α=0.002. Ho:p1=p2 H1:p1≠p2 You obtain a sample from the first population with 161 successes and 65 failures. You obtain a sample from the second population with 249 successes and 50 failures. What is the critical value for this test? (Report answer accurate to four decimal places.) critical value = ± What is the test statistic for this sample? (Report answer accurate to four decimal places.) test statistic = The test statistic is... in the critical region not in the critical region This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proprtion. There is not sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proprtion. The sample data support the claim that the first population proportion is not equal to the second population proprtion. 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

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

You wish to test the following claim (H1) at a significance level of α=0.002.

Ho:p1=p2
H1:p1≠p2

You obtain a sample from the first population with 161 successes and 65 failures. You obtain a sample from the second population with 249 successes and 50 failures.

What is the critical value for this test? (Report answer accurate to four decimal places.)
critical value = ±

What is the test statistic for this sample? (Report answer accurate to four decimal places.)
test statistic =

The test statistic is...

in the critical region
not in the critical region

This test statistic leads to a decision to...

reject the null
accept the null
fail to reject the null

As such, the final conclusion is that...

There is sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proprtion.
There is not sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proprtion.
The sample data support the claim that the first population proportion is not equal to the second population proprtion.
There is not sufficient sample evidence to support the claim that the first population proportion is not equal to the second population proprtion.

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