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Test the claim that the proportion of men who own cats is larger than 20% at...

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Basic Math

Test the claim that the proportion of men who own cats is largerthan 20% at the .05 significance level.

The null and alternative hypothesis would be:

H0:p=0.2H0:p=0.2
H1:p≠0.2H1:p≠0.2

H0:p=0.2H0:p=0.2
H1:p>0.2H1:p>0.2

H0:μ=0.2H0:μ=0.2
H1:μ≠0.2H1:μ≠0.2

H0:μ=0.2H0:μ=0.2
H1:μ<0.2H1:μ<0.2

H0:p=0.2H0:p=0.2
H1:p<0.2H1:p<0.2

H0:μ=0.2H0:μ=0.2
H1:μ>0.2H1:μ>0.2



The test is:

right-tailed

two-tailed

left-tailed



Based on a sample of 30 people, 29% owned cats

The test statistic is:  (to 2 decimals)

The critical value is:  (to 2 decimals)

Based on this we:

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

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