In a recent survey of drinking laws, a random sample of 500 women showed that 65% were in favor of increasing the legal drinking age. In a random sample of 500 men, 60% favored increasing the legal drinking age. Test the hypothesis that the percentage of men and women favoring a higher legal drinking age is the same. Use = 0.05.

a. What is the critical value? [ Select ] ["Z alpha= 0.05", "t (alpha)= 2.343", "Z (alpha/2) = -1.645 , 1.645", "Z (alpha/2) = 1.645", "t (alpha/2)= -1.632"]

b. What is the test statistic? [ Select ] ["z= 1.79", "z= 1.633", "t= 1.633", "t=1,784"]

c. Compare the critical value with significance level and make a conclusion whether you reject H0. or not [ Select ] ["Test statistic falls inside the critical region reject the null hypothesis. We have insufficient evidence to support the claim", "Test statistic is > than the significance level, reject the null hypothesis. We have sufficient evidence to support the claim", "Test statistic falls outside the critical region, we fail to reject. We have insufficient evidence to support the claim,"]