You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly different from 0.81. You use a significance level of α=0.01α=0.01. H0:p=0.81H0:p=0.81 H1:p≠0.81H1:p≠0.81You obtain a sample of size n=394n=394 in which there are 308 successes.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 proportion of voters who prefer Candidate A is different from 0.81.There is not sufficient evidence to warrant rejection of the claim that the proportion of voters who prefer Candidate A is different from 0.81.The sample data support the claim that the proportion of voters who prefer Candidate A is different from 0.81.There is not sufficient sample evidence to support the claim that the proportion of voters who prefer Candidate A is different from 0.81.

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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 are conducting a study to see if the proportion of voters who prefer Candidate A is significantly different from 0.81. You use a significance level of α=0.01α=0.01.

H0:p=0.81H0:p=0.81
H1:p≠0.81H1:p≠0.81

You obtain a sample of size n=394n=394 in which there are 308 successes.

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 proportion of voters who prefer Candidate A is different from 0.81.
There is not sufficient evidence to warrant rejection of the claim that the proportion of voters who prefer Candidate A is different from 0.81.
The sample data support the claim that the proportion of voters who prefer Candidate A is different from 0.81.
There is not sufficient sample evidence to support the claim that the proportion of voters who prefer Candidate A is different from 0.81.

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