Test the claim that the proportion of men who own cats is significantly different than 40% at the 0.01 significance level. The null and alternative hypothesis would be: H0:μ=0.4 H0:μ=0.4, H1:μ≠0.4 H1:μ≠0.4, H0:μ=0.4 H0:μ=0.4, H1:μ<0.4 H1:μ<0.4, H0:p=0.4 H0:p=0.4, H1:p≠0.4 H1:p≠0.4 H0:p=0.4 H0:p=0.4, H1:p>0.4 H1:p>0.4, H0:μ=0.4 H0:μ=0.4 H1:μ>0.4 H1:μ>0.4, H0:p=0.4 H0:p=0.4, H1:p<0.4 H1:p<0.4 The test is: right-tailed left-tailed two-tailed Based on a sample of 25 people, 32% owned cats The test statistic is:  (to 2 decimals) The positive critical value is:  (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis

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Test the claim that the proportion of men who own cats is significantly different than 40% at the 0.01 significance level.

The null and alternative hypothesis would be:

H0:μ=0.4 H0:μ=0.4, H1:μ≠0.4 H1:μ≠0.4, H0:μ=0.4 H0:μ=0.4, H1:μ<0.4 H1:μ<0.4, H0:p=0.4 H0:p=0.4, H1:p≠0.4 H1:p≠0.4
H0:p=0.4 H0:p=0.4, H1:p>0.4 H1:p>0.4, H0:μ=0.4 H0:μ=0.4
H1:μ>0.4 H1:μ>0.4, H0:p=0.4 H0:p=0.4, H1:p<0.4 H1:p<0.4

The test is:

right-tailed
left-tailed
two-tailed

Based on a sample of 25 people, 32% owned cats

The test statistic is:  (to 2 decimals)

The positive critical value is:  (to 2 decimals)

Based on this we:

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