The accompanying table shows results of challenged referee calls in a major tenn

Question

The accompanying table shows results of challenged referee calls in a major tennis tournament. Use a 0 06 significance level to test the claim that the gender of the tennis player is independent of whether a call is overturned. Determine the null and alternative hypotheses. A. H_0; Male tennis players are not more than successful in overturning calls than female players. H_1: Male tennis players are more successful in overturning calls than female players. B. H_0: The gender of the tennis player is not independent of whether a call is overturned. H_1: The gender of the tennis player is independent of whether a call is overturned. C. H_0: The gender of the tennis player is independent of whether a call is overturned. H_1: The gender of the tennis player is not independent of whether a call is overturned. D. H_0; Male tennis players are more successful in overturning calls than female players. H_1: Male tennis players are not more successful in overturning calls than fe

Explanation / Answer

option C is correct

for 0.05 level critical value=3.841

as critical value is higher then chi stat 58.1439. We reject null hypothesis

Observed O Yes No Total Men 203 723 926 Women 340 547 887 Total 543 1270 1813 Expected E=rowtotal*column total/grand total Yes No Total Men 277.340 648.660 926 Women 265.660 621.340 887 Total 543 1270 1813 chi square =(O-E)^2/E Yes No Total Men 19.927 8.5198 28.447 Women 20.803 8.894 29.697 Total 40.730 17.414 58.1439

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