Test the claim that the proportion of men who own cats is significantly different than 80% at the 0.01 significance level. The null and alternative hypothesis would be: H0:μ=0.8H0:μ=0.8 H1:μ>0.8H1:μ>0.8 H0:μ=0.8H0:μ=0.8 H1:μ≠0.8H1:μ≠0.8 H0:p=0.8H0:p=0.8 H1:p<0.8H1:p<0.8 H0:μ=0.8H0:μ=0.8 H1:μ<0.8H1:μ<0.8 H0:p=0.8H0:p=0.8 H1:p>0.8H1:p>0.8 H0:p=0.8H0:p=0.8 H1:p≠0.8H1:p≠0.8 The test is: two-tailed left-tailed right-tailed Based on a sample of 35 people, 76% owned cats The test statistic is:  (to 2 decimals) The positive critical value is:  (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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Test the claim that the proportion of men who own cats is significantly different than 80% at the 0.01 significance level.

The null and alternative hypothesis would be:

H0:μ=0.8H0:μ=0.8
H1:μ>0.8H1:μ>0.8
H0:μ=0.8H0:μ=0.8
H1:μ≠0.8H1:μ≠0.8
H0:p=0.8H0:p=0.8
H1:p<0.8H1:p<0.8
H0:μ=0.8H0:μ=0.8
H1:μ<0.8H1:μ<0.8
H0:p=0.8H0:p=0.8
H1:p>0.8H1:p>0.8
H0:p=0.8H0:p=0.8
H1:p≠0.8H1:p≠0.8



The test is:

two-tailed
left-tailed
right-tailed



Based on a sample of 35 people, 76% owned cats

The test statistic is:  (to 2 decimals)

The positive critical value is:  (to 2 decimals)

Based on this we:

  • Reject the null hypothesis
  • Fail to reject the null hypothesis
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