Question

Since an instant replay system for tennis was introduced at a major? tournament, men challenged 1397 referee? calls, with the result that 428 of the calls were overturned. Women challenged 775 referee? calls, and 228 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. Complete parts? (a) through? (c) below. 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. Upper H 0?: p 1equalsp 2 Upper H 1?: p 1greater thanp 2 B. Upper H 0?: p 1equalsp 2 Upper H 1?: p 1not equalsp 2 C. Upper H 0?: p 1greater than or equalsp 2 Upper H 1?: p 1not equalsp 2 D. Upper H 0?: p 1equalsp 2 Upper H 1?: p 1less thanp 2 E. Upper H 0?: p 1less than or equalsp 2 Upper H 1?: p 1not equalsp 2 F. Upper H 0?: p 1not equalsp 2 Upper H 1?: p 1

Answer #1

a) Null Hypothesis H0: p1=p2

Alternative Hypothesis

Significance Level

The proportion of males tennis players who challenged referee calls is

The proportion of female tennis players who challenged referee calls is

Under H0, the test statistic is

where

The P-Value is 0.5532

Since p value is greater than significance level. Fail to REject H0.

Hence, at 5% level of significance, we donot have enough evidenec to support the cliam that men and women have equal success in challenging calls.

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