In: Statistics and Probability
3. Open Roof or Closed Roof? In a recent World Series, the Houston Astros wanted to close the roof on their domed stadium so that fans could make noise and give the team an 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 home games during the season leading up to the World Series. Use a 0.05 significance level to conduct a Chi-Square Test for Association. Is there sufficient evidence to show that there is a relationship between wins and the open/closed status of the roof?
Win | Loss | |
Closed Roof | 36 | 17 |
open Roof | 15 | 11 |
Hypothesis:
Test Statistic and value:
P-value or critical value:
Conclusion:
Chi-Square Test for Association is Chi-square independence in hypothesis testing .
We conclude that there is a no relationship between wins and the open/closed status of the roof.
PL??