Test the claim that the proportion of men who own cats is smaller than 70% at the .05 significance level. The null and alternative hypothesis would be: H0:p=0.7H0:p=0.7 H1:p≠0.7H1:p≠0.7 H0:p=0.7H0:p=0.7 H1:p<0.7H1:p<0.7 H0:μ=0.7H0:μ=0.7 H1:μ≠0.7H1:μ≠0.7 H0:p=0.7H0:p=0.7 H1:p>0.7H1:p>0.7 H0:μ=0.7H0:μ=0.7 H1:μ<0.7H1:μ<0.7 H0:μ=0.7H0:μ=0.7 H1:μ>0.7H1:μ>0.7 The test is: two-tailed right-tailed left-tailed Based on a sample of 20 people, 68% owned cats The test statistic is:  (to 2 decimals) The critical value is:  (to 2 decimals) Based on this we: Fail to reject the null hypothesis Reject the null hypothesis

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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Test the claim that the proportion of men who own cats is smaller than 70% at the .05 significance level.

The null and alternative hypothesis would be:
H0:p=0.7H0:p=0.7
H1:p≠0.7H1:p≠0.7
H0:p=0.7H0:p=0.7
H1:p<0.7H1:p<0.7
H0:μ=0.7H0:μ=0.7
H1:μ≠0.7H1:μ≠0.7
H0:p=0.7H0:p=0.7
H1:p>0.7H1:p>0.7
H0:μ=0.7H0:μ=0.7
H1:μ<0.7H1:μ<0.7
H0:μ=0.7H0:μ=0.7
H1:μ>0.7H1:μ>0.7


The test is:
two-tailed
right-tailed
left-tailed


Based on a sample of 20 people, 68% owned cats

The test statistic is:  (to 2 decimals)

The critical value is:  (to 2 decimals)

Based on this we:
  • Fail to reject the null hypothesis
  • Reject the null hypothesis
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