You wish to test the following claim (H1) at a significance level of α=0.005. Ho:p1=p2 H1:p1<p2You obtain a sample from the first population with 87 successes and 668 failures. You obtain a sample from the second population with 81 successes and 410 failures.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) ααgreater than ααThis test statistic leads to a decision to...reject the nullaccept the nullfail to reject the nullAs such, the final conclusion is that...There is sufficient evidence to warrant rejection of the claim that the first population proportion is less than the second population proportion.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.There is not sufficient sample evidence to support the claim that the first population proportion is less than the second population proportion.

The Provided information are :H0:p1=p2H1:p1<p2…

Answered: You wish to test the following claim…

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=0.005.

Ho:p1=p2
H1:p1<p2

You obtain a sample from the first population with 87 successes and 668 failures. You obtain a sample from the second population with 81 successes and 410 failures.

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) αα
greater than αα

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 less than the second population proportion.
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.
There is not sufficient sample evidence to support the claim that the first population proportion is less than the second population proportion.

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