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 and the standard deviation is 1341 people. Ten more seasons are randomly selected from years when the team lost more games than they won with a mean of 86,910 people and 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?

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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 and the standard deviation is 1341 people. Ten more seasons are randomly selected from years when
the team lost more games than they won with a mean of 86,910 people and 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.
(c) 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 season. 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.
Transcribed Image Text: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 and the standard deviation is 1341 people. Ten more seasons are randomly selected from years when the team lost more games than they won with a mean of 86,910 people and 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. (c) 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 season. 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.
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