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.
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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Need help finding the Test Statistic and p-value. See the photo for problem.
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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