est the claim that the proportion of men who own cats is significantly different than 30% at the 0.1 significance level. The null and alternative hypothesis would be: H0:p=0.3H0:p=0.3 H1:p≠0.3H1:p≠0.3 H0:p=0.3H0:p=0.3 H1:p<0.3H1:p<0.3 H0:p=0.3H0:p=0.3 H1:p>0.3H1:p>0.3 H0:μ=0.3H0:μ=0.3 H1:μ>0.3H1:μ>0.3 H0:μ=0.3H0:μ=0.3 H1:μ≠0.3H1:μ≠0.3 H0:μ=0.3H0:μ=0.3 H1:μ<0.3H1:μ<0.3 The test is: two-tailed left-tailed right-tailed Based on a sample of 70 people, 21% owned cats The test statistic is:  (to 2 decimals) The positive critical value is:  (to 2 decimals) Based on this we: Fail to 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
Problem 6CR
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Test the claim that the proportion of men who own cats is significantly different than 30% at the 0.1 significance level.

The null and alternative hypothesis would be:

H0:p=0.3H0:p=0.3
H1:p≠0.3H1:p≠0.3
H0:p=0.3H0:p=0.3
H1:p<0.3H1:p<0.3
H0:p=0.3H0:p=0.3
H1:p>0.3H1:p>0.3
H0:μ=0.3H0:μ=0.3
H1:μ>0.3H1:μ>0.3
H0:μ=0.3H0:μ=0.3
H1:μ≠0.3H1:μ≠0.3
H0:μ=0.3H0:μ=0.3
H1:μ<0.3H1:μ<0.3



The test is:

two-tailed
left-tailed
right-tailed



Based on a sample of 70 people, 21% owned cats

The test statistic is:  (to 2 decimals)

The positive critical value is:  (to 2 decimals)

Based on this we:

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