In: Statistics and Probability
A researcher believes that the proportion of male high school seniors who have their own cars is higher than the proportion of female high school seniors who have their own cars. In a sample of 35 male high school seniors 20 had their own cars. In a sample of 40 female high school seniors, 20 had their own cars. At α = 0.05, test the researchers claim using the five step testing method.
From the given data
(1) Null and Alternative Hypothesis:
H0: the proportion of male high school seniors who have their own cars is not higher than the proportion of female high school seniors who have their own cars
H1: the proportion of male high school seniors who have their own cars is higher than the proportion of female high school seniors who have their own cars
Thus we conclude that the proportion of male high school seniors who have their own cars is not higher than the proportion of female high school seniors who have their own cars