In a recent baseball world series, the Houston Astros wanted to close the rood on their domes stadium so that the 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 shows the result from home games during the season leading up to the world series. Use a 0.05 significance level to test for independence between wins and wheather the roof is open or closed. Does it appear that a closed roof really gives the Astros an advantage?

Closed roof: Win=36 Loss=17
Open roof: Win=15 Loss=11