Please answer all sub-parts Test the claim that the proportion of men who own cats is significantly different than 30% at the 0.01 significance level. The null and alternative hypothesis would be: H0:p=0.3H0:p=0.3 H1:p<0.3H1:p<0.3 H0:μ=H0:μ= H1:μ0.3H1:p>0.3 H0:p=0.3H0:p=0.3 H1:p≠0.3H1:p≠0.3 H0:μ=H0:μ= H1:μ>H1:μ> H0:μ=H0:μ= H1:μ≠H1:μ≠

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Please answer all sub-parts

Test the claim that the proportion of men who own cats is significantly different than 30% at the 0.01 significance level.

The null and alternative hypothesis would be:

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



The test is:

two-tailed
right-tailed
left-tailed



Based on a sample of 70 men, 710710 of the men owned cats

The test statistic is: z=z= (to 2 decimals)

The positive critical value is zC=zC=2.57583.

Thus the test statistic     in the critical region.

Based on this we:

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