Needed ASAP: Hypothesis Testing Question

Question

Test the claim that the proportion of men who own cats is smaller than 40% at the .01 significance level.

The null and alternative hypothesis would be:

H

The test is left-tailed.

Based on a sample of 100 people, 37% owned cats, what would the test statistic and critical value be?

The test statistic is: __________ (to 2 decimals)

The critical value is: __________ (to 2 decimals)

Answer 1

phat = sample proportion = 0.37

sample size = n = 100

population proportion = p = 0.4

Test statistic = z = (phat - p)/sqrt(p*(1-p)/n) = (0.37-0.4)/sqrt(0.4*0.6/100) = -0.61

critical value is z-score corresponding to 0.01 probability = -2.33