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Test the claim that the proportion of men who own cats is significantly different than 80%...

Test the claim that the proportion of men who own cats is significantly different than 80% at the 0.02 significance level.

The null and alternative hypothesis would be:

H0:p=0.8
H1:p≠0.8

H0:μ=0.8
H1:μ≠0.8

H0:p=0.8
H1:p>0.8

H0:p=0.8
H1:p<0.8

H0:μ=0.8
H1:μ<0.8

H0:μ=0.8
H1:μ>0.8



The test is:

two-tailed

right-tailed

left-tailed



Based on a sample of 45 people, 71% 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
math   Statistics-And-Probability   
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