Test the claim that the proportion of men who own cats is smaller than 80% at the .01 significance level. The null and alternative hypothesis would be: H0:p=0.8H0:p=0.8 H1:p>0.8H1:p>0.8...


Test the claim that the proportion of men who own cats is smaller than 80% at the .01 significance level.



The null and alternative hypothesis would be:



H0:p=0.8H0:p=0.8
H1:p>0.8H1:p>0.8

H0:μ=0.8H0:μ=0.8
H1:μ≠0.8H1:μ≠0.8

H0:p=0.8H0:p=0.8
H1:p≠0.8H1:p≠0.8

H0:p=0.8H0:p=0.8
H1:p<><>

H0:μ=0.8H0:μ=0.8
H1:μ<><>

H0:μ=0.8H0:μ=0.8
H1:μ>0.8H1:μ>0.8






The test is:



right-tailed

two-tailed

left-tailed






Based on a sample of 50 people, 74% owned cats


The test statistic is:  (to 4 decimals)


The critical value is:  (to 4 decimals)


Based on this we:




  • Reject the null hypothesis

  • Fail to reject the null hypothesis





Jun 02, 2022
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