You wish to test the following claim (Ha) at a significance level of α=0.02. Ho:p1=p2 Ha:p1<p2You obtain a random sample of size 299 from the first population, with 217 successes. You obtain a random sample of size 718 from the second population, with 549 successes.What is the test statistic for this sample? (Report answer accurate to 2 decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to 3 decimal places.)p-value = The p-value is...less than 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...Because our p-value is less than alpha, we fail to reject the Ho. There is not enough evidence to support the claim that the first population proportion is less than the second population proportion.Because our p-value is greater than alpha, we reject the Ho. There is enough evidence to support the claim that the first population proportion is less than the second population proportion.Because our p-value is less than alpha, we reject the Ho. There is enough evidence to support the claim that the first population proportion is less than the second population proportion.Because our p-value is greater than alpha, we fail to reject the Ho. There is not enough evidence to support the claim that the first population proportion is less than the second population proportion.

Given that n1 = 299 , X1 = 217 , n2 = 718 , X2 = 549

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 (Ha) at a significance level of α=0.02.

Ho:p1=p2
Ha:p1<p2

You obtain a random sample of size 299 from the first population, with 217 successes. You obtain a random sample of size 718 from the second population, with 549 successes.

What is the test statistic for this sample? (Report answer accurate to 2 decimal places.)
test statistic =

What is the p-value for this sample? (Report answer accurate to 3 decimal places.)
p-value =

The p-value is...

less than 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...

Because our p-value is less than alpha, we fail to reject the Ho. There is not enough evidence to support the claim that the first population proportion is less than the second population proportion.
Because our p-value is greater than alpha, we reject the Ho. There is enough evidence to support the claim that the first population proportion is less than the second population proportion.
Because our p-value is less than alpha, we reject the Ho. There is enough evidence to support the claim that the first population proportion is less than the second population proportion.
Because our p-value is greater than alpha, we fail to reject the Ho. There is not enough evidence to support the claim that the first population proportion is less than the second population proportion.

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