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.
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.
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 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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