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In: Statistics and Probability

Test the claim that the proportion of men who own cats is smaller than the proportion...

Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .05 significance level. The null and alternative hypothesis would be: H 0 : p M = p F H0:pM=pF H 1 : p M ≠ p F H1:pM≠pF H 0 : μ M = μ F H0:μM=μF H 1 : μ M < μ F H1:μM<μF H 0 : p M = p F H0:pM=pF H 1 : p M > p F H1:pM>pF H 0 : p M = p F H0:pM=pF H 1 : p M < p F H1:pM μ F H1:μM>μF H 0 : μ M = μ F H0:μM=μF H 1 : μ M ≠ μ F H1:μM≠μF

The test is: left-tailed two-tailed right-tailed Based on a sample of 20 men, 35% owned cats

Based on a sample of 20 women, 60% owned cats

The test statistic is: (to 2 decimals)

The p-value is: (to 2 decimals)

Based on this we: Reject the null hypothesis Fail to reject the null hypothesis

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orchestra answered 1 year ago
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