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Test the claim that the proportion of men who own cats is smaller than 20% at the 0.05 significance level. The null and alternative hypothesis

Test the claim that the proportion of men who own cats is smaller than 20% at the 0.05 significance level. The null and alternative hypothesis would be:

H0:p=0.2H0:p=0.2 H1:p0.2H1:p0.2 H0:p0.2H0:p0.2 H1:p>0.2H1:p>0.2 H0:0.2H0:0.2 H1:<0.2H1:<0.2 H0:=0.2H0:=0.2 H1:0.2H1:0.2 H0:p0.2H0:p0.2 H1:p<0.2H1:p<0.2 H0:0.2H0:0.2 H1:>0.2H1:>0.2 The test is: left-tailed right-tailed two-tailed Based on a sample of 500 people, 17% 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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