11.11 **Educational Website Content:**### Analysis of Challenged Referee Calls in a Major Tennis TournamentThis section reviews the results of statistical tests conducted to examine whether the gender of a tennis player influences the success of challenge calls in a major tennis tournament.#### Hypotheses FormulationTo analyze the data, we first establish the null and alternative hypotheses.- **Option A (Selected):** - **Null Hypothesis (H₀):** The gender of the tennis player is independent of whether a call is overturned. - **Alternative Hypothesis (H₁):** The gender of the tennis player is not independent of whether a call is overturned.Other options, which were not selected, include:- **Option B:** - Male players are not more successful in overturning calls than female players vs. they are more successful. - **Option C:** - Male players are more successful in overturning calls than female players vs. they are not more successful. - **Option D:** - The gender of the tennis player is not independent of call overturning vs. it is independent.#### Data OverviewThe accompanying table presents the results of referee calls challenged by male and female tennis players.- **Table Content:** - **Men:** - Successful Challenges: 400 - Unsuccessful Challenges: 748 - **Women:** - Successful Challenges: 394 - Unsuccessful Challenges: 883#### Statistical AnalysisTo determine the relationship between the player's gender and the call's success, we use a chi-square test:- **Chi-Square Test Statistic (χ²):** - The test statistic needs to be calculated and rounded to three decimal places.This statistical approach helps test the claim at a 0.05 significance level, determining the independence between player gender and challenge outcomes. **P-value =** □ (Round to four decimal places as needed.)Use a 0.05 significance level to test the claim that the gender of the tennis player is independent of whether a call is overturned. Choose the correct answer below:- **A.** There is sufficient evidence to warrant rejection of the claim that male tennis players are more successful in overturning calls than female tennis players.- **B.** There is sufficient evidence to warrant rejection of the claim that the gender of the tennis player is independent of whether a call is overturned.- **C.** There is not sufficient evidence to warrant rejection of the claim that the gender of the tennis player is independent of whether a call is overturned.- **D.** There is not sufficient evidence to warrant rejection of the claim that male tennis players are more successful in overturning calls than female tennis players.

Answer [O] Yes No TotalMen 400 748 1148Women 394 883 1277Total 794 1631 2425The null and alternative: Option A is correct.The expected value:[Row total * Column total]/ [Grand total].Based on the observed values and expected values:NOTE:X1 = MenX2 = WomenY1 = YesY2 = NOTest statistics: = 1.548+1.391+0.753+0.677 = 4.370The degree of freedom = [r-1] [c-1] = [2-1] [2-1] =1P-value:CHISQ.DIST. RT [4.370, 1, 1]=0.0366P<0.05Reject the H0,Option B is correct.Final answer Test statistics = 4.370P-value = 0.0366P<0.05Reject the H0,Sufficient evidence.

Math

Statistics

The accompanying table shows results of challenged referee calls in a major tennis tournament. Use a 0.05 significance level to test the claim that the gender of the tennis player is independent whether a call is overturned. Click the icon to view the table. Determine the null and alternative hypotheses. A. Ho: The gender of the tennis player is independent of whether a call is overturned. H₁: The gender of the tennis player is not independent of whether a call is overturned. OB. Ho: Male tennis players are not more successful in overturning calls than female players. H₁: Male tennis players are more successful in overturning calls than female players. OC. Ho: Male tennis players are more successful in overturning calls than female players. H: Malo topnic players are not more successful in overturping calle than female plavers More Info Men Women Was the Challenge to the Call Successful? Yes 400 394 Print No 748 883 Done