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 6 3 129 4 18 6 7 Watch 8 2 2 5 10 7 2 10 7 8 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 t-test for the difference between two dependent population means a. The null and alternative hypotheses would be: Ho: ud (please enter a decimal) H1: pd (Please enter a decimal) b. The test statistic (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.)

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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 6 3 12 9 4 18 6 7
Watch 8 2 2 5 10 7 2 10 7 8
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 [t-test for the difference between two dependent population means
a. The null and alternative hypotheses would be:
Ho: ud
(please enter a decimal)
Hị: pd
(Please enter a decimal)
b. The test statistic
(please show your answer to 3 decimal places.)
c. The p-value =
d. The p-value is EV
(Please show your answer to 4 decimal places.)
e. Based on this, we should reject
the null hypothesis.
f. Thus, the final conclusion is that ...
The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude
that the population mean rating for playing sports is less than the population mean rating for
watching sports.
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 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.
O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude
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 6 3 12 9 4 18 6 7 Watch 8 2 2 5 10 7 2 10 7 8 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 [t-test for the difference between two dependent population means a. The null and alternative hypotheses would be: Ho: ud (please enter a decimal) Hị: pd (Please enter a decimal) b. The test statistic (please show your answer to 3 decimal places.) c. The p-value = d. The p-value is EV (Please show your answer to 4 decimal places.) e. Based on this, we should reject the null hypothesis. f. Thus, the final conclusion is that ... The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population mean rating for playing sports is less than the population mean rating for watching sports. 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 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. O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude
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