In the 2005 World Series the Houston Astros wanted to close the roof on their domed stadium so that fans could make noise and give the team a better advantage at home However the Astros were ordered to keep the roof open unless weather conditions justified closing it But does the closed roof really help the Astros The table below shows the results from the home games during the season leading up to the World Series Use a 0 05 significance level to find the test statistic for a test of independence and the critical value Results from the home games during the season leading up to the World Series for the Astros Win Loss Closed roof 36 Open roof 15 17 11 OF O Test statistic x 0 798 Critical value x 5 024 Test statistic x 0 697 Critical value x 5 024 Test statistic y 0 697 Critical value y 3 841