Test the claim that the proportion of men who own cats is significantly different than 20% at the 0.05 significance level. The null and alternative hypothesis would be: 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: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: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 The test is: right-tailed two-tailed left-tailed Based on a sample of 50 people, 26% 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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Since we are testing if the proportion of men who own cats is significantly different than 20%, our hypotheses should be: H0: p = 0.2 (null hypothesis) H1: p ≠ 0.2 (alternative hypothesis) Since the alternative hypothesis is p ≠ 0.2, this is a two-tailed Show more…
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