A football team owner believes that attendance at the home stadium increases when the team
has a winning season. He randomly selects 10 seasons when the team won more games than
they lost and determines that the mean attendance is 88,532 people with a standard deviation
of 1341 people. Ten more seasons are randomly selected from years when the team lost more
games than they won. The mean attendance for the sample of losing seasons is 86,910 people
with a standard deviation of 1521 people. Assume all conditions for conducting a
significance test have been met and that the p-value is 0.011. Which of the following
conclusions should the owner make?
A) The mean attendance at the home stadium is greater when the team is having a winning
season approximately 1.1% of the time.
B) The p-value indicates that the mean attendance at the home stadium is greater when the
team is having a winning season at the 1% level of significance. There is a significant
difference in mean attendance when the team is winning than when the team is losing.
At the 5% significance level, there is evidence that the mean attendance at the home
stadium is greater when the team is having a winning season than when the team is
having a losing season. We would expect to get a test statistic at least as extreme as the
one observed 1.1% of the time if the null hypothesis is true.
D) At the 5% significance level, there is evidence that the mean attendance at the home
stadium is greater when the team is having a winning season than when the team is
having a losing seasen. We would expect to get a test statistic at least as extreme as that
observed 98.9% of the time if the null hypothesis is true.
E Because the p-value is so small, the results show that there is not a significant
difference between the mean attendance during a winning season and the mean
attendance during a losing season.