Do college students enjoy playing sports just as much as 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 31 75536 268 Watch 1 1 6 1 3 1 7 157 Assume a Normal distribution. What can be concluded at the the a= 0.10 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: ud ✓(Please enter a decimal) b. The test statistic ✓E (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 sv a e. Based on this, we should reject the null hypothesis. f. Thus, the final conclusion is that ... The results are statistically insignificant at a = 0.10, so there is insufficient evidence to conclude that the population mean rating for playing sports is not the same as the population mean rating for watching sports. O The results are statistically insignificant at a = 0.10, 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.

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Need help finding the Test Statistic and p-value. See the photo for problem.
Do college students enjoy playing sports just as much as 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
3 1 7 5 5 3
6 2
6 8
Play
Watch 1 1 6 1 3 1 7 1 57
Assume a Normal distribution. What can be concluded at the the a= 0.10 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:
ud
#
D
(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 sv a
e. Based on this, we should reject
the null hypothesis.
f. Thus, the final conclusion is that ...
The results are statistically insignificant at a = 0.10, so there is insufficient evidence to
conclude that the population mean rating for playing sports is not the same as the population
mean rating for watching sports.
O The results are statistically insignificant at a = 0.10, 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.
Transcribed Image Text:Do college students enjoy playing sports just as much as 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 3 1 7 5 5 3 6 2 6 8 Play Watch 1 1 6 1 3 1 7 1 57 Assume a Normal distribution. What can be concluded at the the a= 0.10 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: ud # D (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 sv a e. Based on this, we should reject the null hypothesis. f. Thus, the final conclusion is that ... The results are statistically insignificant at a = 0.10, so there is insufficient evidence to conclude that the population mean rating for playing sports is not the same as the population mean rating for watching sports. O The results are statistically insignificant at a = 0.10, 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.
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