est the claim that the proportion of people who own cats is smaller than 60% at the 0.005 significance level. The null and alternative hypothesis would be:   H0:μ=0.6H0:μ=0.6 H1:μ≠0.6H1:μ≠0.6 H0:p=0.6H0:p=0.6 H1:p≠0.6H1:p≠0.6 H0:p≤0.6H0:p≤0.6 H1:p>0.6H1:p>0.6 H0:μ≥0.6H0:μ≥0.6 H1:μ<0.6H1:μ<0.6 H0:p≥0.6H0:p≥0.6 H1:p<0.6H1:p<0.6 H0:μ≤0.6H0:μ≤0.6 H1:μ>0.6H1:μ>0.6 The test is:   two-tailed right-tailed left-tailed Based on a sample of 200 people, 51% owned cats The test statistic is:  (to 2 decimals) The p-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 people who own cats is smaller than 60% at the 0.005 significance level.

The null and alternative hypothesis would be:

 

H0:μ=0.6H0:μ=0.6
H1:μ≠0.6H1:μ≠0.6
H0:p=0.6H0:p=0.6
H1:p≠0.6H1:p≠0.6
H0:p≤0.6H0:p≤0.6
H1:p>0.6H1:p>0.6
H0:μ≥0.6H0:μ≥0.6
H1:μ<0.6H1:μ<0.6
H0:p≥0.6H0:p≥0.6
H1:p<0.6H1:p<0.6
H0:μ≤0.6H0:μ≤0.6
H1:μ>0.6H1:μ>0.6



The test is:

 

two-tailed
right-tailed
left-tailed



Based on a sample of 200 people, 51% owned cats

The test statistic is:  (to 2 decimals)

The p-value is:  (to 2 decimals)

Based on this we:

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