Test the claim that the proportion of men who own cats is smaller than 8% at the .01 significance level. The null and alternative hypothesis would be: H0:μ=0.08 H1:μ<0.08   H0:μ=0.08 H1:μ≠0.08   H0:μ=0.08 H1:μ>0.08   H0:p=0.08 H1:p<0.08   H0:p=0.08 H1:p>0.08   H0:p=0.08 H1:p≠0.08   The test is: left-tailed right-tailed two-tailed Based on a sample of 50 people, 16%  owned cats The p-value is: (to 2 decimals) Based on this we: Reject the null hypothesis 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.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 9E
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Test the claim that the proportion of men who own cats is smaller than 8% at the .01 significance level.

The null and alternative hypothesis would be:

H0:μ=0.08


H1:μ<0.08

 
H0:μ=0.08


H1:μ≠0.08

 
H0:μ=0.08


H1:μ>0.08

 
H0:p=0.08


H1:p<0.08

 
H0:p=0.08


H1:p>0.08

 
H0:p=0.08


H1:p≠0.08

 



The test is:

left-tailed
right-tailed
two-tailed



Based on a sample of 50 people, 16%  owned cats

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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