Question

a. test the claim using a hypothesis test
consider the first sample to be the sample of male tennis players who challenged referee calls and the second sample to be the sample of female tennis players who challenged referee calls. what are the null and alternative hypotheses for the hypothesis test?
a. ( h_0: p_1
eq p_2 ) ( h_1: p_1 = p_2 )

b. ( h_0: p_1 leq p_2 ) ( h_1: p_1
eq p_2 )

c. ( h_0: p_1 = p_2 ) ( h_1: p_1 < p_2 )

d. ( h_0: p_1 geq p_2 ) ( h_1: p_1
eq p_2 )

e. ( h_0: p_1 = p_2 ) ( h_1: p_1 > p_2 )

f. ( h_0: p_1 = p_2 ) ( h_1: p_1
eq p_2 )

Explanation:

The problem is about hypothesis testing for two proportions (male and female tennis players challenging referee calls). The null hypothesis ($H_0$) typically assumes no difference, so $H_0: p_1 = p_2$. The alternative hypothesis ($H_1$) for a general test of difference (without a specified direction like greater or less) is $H_1: p_1
eq p_2$. Option F has $H_0: p_1 = p_2$ and $H_1: p_1
eq p_2$, which matches this setup.

Answer:

F. $H_0: p_1 = p_2$, $H_1: p_1
eq p_2$