You wish to test the following claim at a significance level of α=0.001α=0.001. H0:p=0.79H0:p=0.79 H1:p>0.79H1:p>0.79You obtain a sample of size 540 in which there are 438 successful observations.What is the test statistic for this sample? (Report answer accurate to 3 decimal places.) What is the p-value for this sample? (Report answer accurate to 4 decimal places.) The p-value isless than (or equal to) ααgreater than ααThis test statistic leads to a decision toreject the nullaccept the nullfail to reject the nullAs such, the final conclusion is thatthere is sufficient evidence to conclude that the population proportion is greater than 0.79.there is not sufficient evidence to conclude that the population proportion is greater than 0.79.there is sufficient evidence to conclude that the population proportion is equal to 0.79.there is not sufficient evidence to conclude that the population proportion is equal to 0.79.

Solution: State the hypotheses. Null hypothesis: H0: p=0.79 That is, the population proportion is…

Answered: You wish to test the following claim at…

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 at a significance level of α=0.001α=0.001.

H0:p=0.79H0:p=0.79
H1:p>0.79H1:p>0.79

You obtain a sample of size 540 in which there are 438 successful observations.

What is the test statistic for this sample? (Report answer accurate to 3 decimal places.)

What is the p-value for this sample? (Report answer accurate to 4 decimal places.)

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 conclude that the population proportion is greater than 0.79.
there is not sufficient evidence to conclude that the population proportion is greater than 0.79.
there is sufficient evidence to conclude that the population proportion is equal to 0.79.
there is not sufficient evidence to conclude that the population proportion is equal to 0.79.

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