Question

For each situation described below, construct a null and alternative hypothesis that you could use to test the specified theory. Then state the population parameter (or parameters) that you are seeking to learn about with your hypothesis test.

A) Your friend, a basketball enthusiast, points out that NBA players make 75 percent of their free throws on average. He asserts that he is a better free throw shooter than the average NBA player. You ask him to prove it.

B) You and a friend are debating the causes of the gender wage gap. Your friend argues that women face discrimination because some employers are more likely to hire a man rather than an equally qualified woman if given the option. So you make two identical but fictional resumes, one for “Andy Smith” and one for “Amy Smith.” You send them out to employers and track which ones get calls back for an interview.

Answer 1

(A)

Your friend, a basketball enthusiast, points out that NBA players make 75 percent of their free throws on average. He asserts that he is a better free throw shooter than the average NBA player. You ask him to prove it.

H0: Null Hypothesis: (NBA players make 75 percent of their free throws on average.)

P=0.75

HA: Alternative Hypothesis: P>0.75 (NBA players make more than 75 percent of their free throws on average) (Claim)

The population parameter (or parameters) that you are seeking to learn about with your hypothesis test. = percent of their free throws on average of NBA players

(B)

You and a friend are debating the causes of the gender wage gap. Your friend argues that women face discrimination because some employers are more likely to hire a man rather than an equally qualified woman if given the option. So you make two identical but fictional resumes, one for “Andy Smith” and one for “Amy Smith.” You send them out to employers and track which ones get calls back for an interview.

H0: Null Hypothesis: P1 = P2 (women do not face discrimination because employers are equally likely to hire a man or woman if given the option)

HA: Alternative Hypothesis: P1 > P2 (women face discrimination because some employers are more likely to hire a man rather than an equally qualified woman if given the option)

The population parameter (or parameters) that you are seeking to learn about with your hypothesis test. = Proportion of men and proportion of women in empoyment.