Do college students enjoy playing sports less than watching sports? A researcher randomly selected ten college students and asked them to rate playing sports and watching sports on a scale from 1 to 10 with 1 meaning they have no interest and 10 meaning they absolutely love it. The results of the study are shown below. Playing Vs. Watching Sports Play 8 8 58 10 8 627 Watch 10 10 758 10 10 6 5 5 Assume a Normal distribution. What can be concluded at the the a 0.01 level of significance level of significance? For this study, we should use Select an answer

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Do college students enjoy playing sports less than watching sports? A researcher randomly selected ten
college students and asked them to rate playing sports and watching sports on a scale from 1 to 10 with 1
meaning they have no interest and 10 meaning they absolutely love it. The results of the study are shown
below.
Playing Vs. Watching Sports
Play
89
6.
8 5810 8
6 27
Watch 10 10 758 | 10 10 6 55
Assume a Normal distribution. What can be concluded at the the a = 0.01 level of significance level of
significance?
For this study, we should use Select an answer
a. The null and alternative hypotheses would be:
Ho:Select an answer Y
Select an answer vSelect an answer V (please enter a decimal)
H Select an answer V
Select an answer V
Select an answer v (Please enter a decimal)
b. The test statistic ? v
(please show your answer to 3 decimal places.)
c. The p-value-
(Please show your answer to 4 decimal places.)
d. The p-value is ? va
e. Based on this, we should Select an answer vthe null hypothesis.
f. Thus, the final conclusion is that
O The results are statistically insignificant at a = 0.01, so there is statistically significant
evidence to conclude that the population mean rating for playing sports is equal to the
population mean rating for watching sports,
O The results are statistically significant at o = 0.01, so there is sufficient evidence to conclude
that the ten students that were surveyed rated playing sports lower than watching sports on
average.
The results are statistically insignificant at a = 0,01, so there is insufficient evidence to
conclude that the population mean rating for playing sports is less than the population mean
rating for watching sports,
The results are statistically significant at c = 0.01, so there is sufficient evidence to conclude
that the population mean rating for playing sports 15 less than the population mean rating for
watching sports.
Transcribed Image Text:Do college students enjoy playing sports less than watching sports? A researcher randomly selected ten college students and asked them to rate playing sports and watching sports on a scale from 1 to 10 with 1 meaning they have no interest and 10 meaning they absolutely love it. The results of the study are shown below. Playing Vs. Watching Sports Play 89 6. 8 5810 8 6 27 Watch 10 10 758 | 10 10 6 55 Assume a Normal distribution. What can be concluded at the the a = 0.01 level of significance level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho:Select an answer Y Select an answer vSelect an answer V (please enter a decimal) H Select an answer V Select an answer V Select an answer v (Please enter a decimal) b. The test statistic ? v (please show your answer to 3 decimal places.) c. The p-value- (Please show your answer to 4 decimal places.) d. The p-value is ? va e. Based on this, we should Select an answer vthe null hypothesis. f. Thus, the final conclusion is that O The results are statistically insignificant at a = 0.01, so there is statistically significant evidence to conclude that the population mean rating for playing sports is equal to the population mean rating for watching sports, O The results are statistically significant at o = 0.01, so there is sufficient evidence to conclude that the ten students that were surveyed rated playing sports lower than watching sports on average. The results are statistically insignificant at a = 0,01, so there is insufficient evidence to conclude that the population mean rating for playing sports is less than the population mean rating for watching sports, The results are statistically significant at c = 0.01, so there is sufficient evidence to conclude that the population mean rating for playing sports 15 less than the population mean rating for watching sports.
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