Question

Hypothesis Test:

Since an instant replay system for tennis was introduced at a major​ tournament, men challenged 1409 referee​ calls, with the result that 417 of the calls were overturned. Women challenged 754 referee​ calls, and 212 of the calls were overturned. Use a 0.05 significance level to test the claim that men and women have equal success in challenging calls.

Answer 1

x1 = 417

n1 = 1409

x2 = 212

n2 = 754

Claim: men and women have equal success in challenging calls.

The null and alternative hypothesis is

H0: P1 = P2

H1: P1 P2

Level of significance = 0.05

Test statistic is

P-value = 2*P( Z > 0.72) = 0.4705

( From z table)

P-value > 0.05 we fail to reject null hypothesis.

Conclusion: Men and women have equal success in challenging calls.