个Winning team data were collected for teams in different sports, with the results given in the accompanying table. Use a 0.05 significance level to test the claim that home/visitor winsare independent of the sport. Given that among the four sports included here, baseball is the only sport in which the home team can modify field dimensions to favor its own players,does it appear that baseball teams are effective in using this advantage?Click the icon to view the data table.Winning Team and Sports DataHome Team WinsVisiting Team WinsBasketball Baseball Hockey1255048715044Football5344Printpendent of the sport. The theory is notof the sport The theory is not supported byOC.Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that home/visitor wins are independent of the sport. The theory issupported by the sample data.-XDoneO D.Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that home/visitor wins are independent of the sport. The theory is supported by thesample data. KWinning team data were collected for teams in different sports, with the results given in the accompanying table. Use a 0.05 significance level to test the claim that home/visitor winsare independent of the sport. Given that among the four sports included here, baseball is the only sport in which the home team can modify field dimensions to favor its own players,does it appear that baseball teams are effective in using this advantage?Click the icon to view the data table.Determine the null and alternative hypotheses. Choose the correct answer below.OA. Ho: The home/visitor win is dependent on the sport.H₁: The home/visitor win is not dependent on the sport.OB. Ho: Basketball games are more likely to win at home than any other sport.H₁: Basketball games are not more likely to win at home than any other sport.OC. Ho Basketball games are not more likely to win at home than any other sport.H₁: Basketball games are more likely to win at home than any other sport.OD. Ho: The home/visitor win is independent of the sport.H₁: The home/visitor win is not independent of the sport.Determine the test statistic.x²=(Round to two decimal places as needed.)

The winning team and sports data are shown below:BasketballBaseballHockeyFootballHome team wins125504853Visiting team wins71504444The level of significance is The hypothesis is, Null hypothesis, The home/visitor win is independent of the sport. The null hypothesis is that statement that is under the possible rejection assuming it is true. Alternative hypothesis, The home/visitor win is not independent of the sport. The alternative hypothesis contradicts the null hypothesis.Thus, option D is correct. The rest of the option is incorrect as they are against the claim. The observed values are shown below:BasketballBaseballHockeyFootball TotalHome team wins125504853276Visiting team wins71504444209 Total1961009297485The formula for expected values is, The expected values are shown below: BasketballBaseballHockeyFootballHome team wins56.907252.354655.2000Visiting team wins43.092839.645441.8000The chi-square values are shown below:BasketballBaseballHockeyFootball TotalHome team wins0.83840.36220.08772.9130Visiting team wins1.10710.47830.11583.8468 TotalThe formula for chi-square statistic is, It is calculated as, In this case, the chi-squared statistic is The degree of freedom is calculated as,The chi-squared critical value at 0.05 level of significance with 3 df is calculated using the Excel formula "" as follows:The Excel snip is provided below:It is observed that the chi-squared statistic is less than the chi-squared critical value so we fail to reject the null hypothesis. There is sufficient evidence to conclude that home/visitor wins are independent of the sport. Decision rule: When the test statistic is greater than the critical value, we reject the null hypothesis at the desired level of significance otherwise not. Option D is correct.Null hypothesis, The home/visitor win is independent of the sport.Alternative hypothesis, The home/visitor win is not independent of the sport. The chi-squared statistic is .We fail to reject the null hypothesis. There is sufficient evidence to conclude that home/visitor wins are independent of the sport.