Do college students enjoy playing sports more 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 4 4 5 3 3 10 5 6 8 1 Watch 4 4 4 2 4 10 6 4 8 2 Assume a Normal distribution. What can be concluded at the the a= 0.05 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 H₁: Select an answer Select an answer Select an answer b. The test statistic ? c. The p-value= d. The p-value is ?✔a e. Based on this, we should f. Thus, the final conclusion is that ... Select an answer Select an answer (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) Select an answer the null hypothesis. O The results are statistically insignificant at a = 0.05, so there is insufficient evidence to conclude that the population mean rating for playing sports is greater than the population mean rating for watching sports. O The results are statistically insignificant at a = 0.05, 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 a = 0.05, so there is sufficient evidence to conclude that the ten students that were surveyed rated playing sports higher than watching sports on average. O The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the population mean rating for playing sports is greater than the population mean rating for watching sports.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question

Need help please!

**Image Transcription: Educational Website**

**Do college students enjoy playing sports more 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:** 4, 4, 4, 5, 3, 10, 5, 6, 8, 1
- **Watch:** 4, 4, 4, 2, 4, 10, 6, 4, 8, 2

Assume a Normal distribution. What can be concluded at the α = 0.05 level of significance level of significance?

For this study, we should use [Select an answer].

a. The null and alternative hypotheses would be:

- \( H_0 \): [Select an answer] [Select an answer] [Select an answer] (please enter a decimal)
- \( H_1 \): [Select an answer] [Select an answer] [Select an answer] (please enter a decimal)

b. The test statistic \( t \) = ______ (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 [Select an answer] α.

e. Based on this, we should [Select an answer] the null hypothesis.

f. Thus, the final conclusion is that …

- O The results are statistically insignificant at α = 0.05, so there is insufficient evidence to conclude that the population mean rating for playing sports is greater than the population mean rating for watching sports.

- O The results are statistically insignificant at α = 0.05, 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 α = 0.05, so there is sufficient evidence to conclude that the ten students that were surveyed rated playing sports higher than watching sports on average.

- O The results are statistically significant at α = 0.05, so there is sufficient evidence to conclude that the population mean rating for playing sports is greater than the population mean rating for watching sports.
Transcribed Image Text:**Image Transcription: Educational Website** **Do college students enjoy playing sports more 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:** 4, 4, 4, 5, 3, 10, 5, 6, 8, 1 - **Watch:** 4, 4, 4, 2, 4, 10, 6, 4, 8, 2 Assume a Normal distribution. What can be concluded at the α = 0.05 level of significance level of significance? For this study, we should use [Select an answer]. a. The null and alternative hypotheses would be: - \( H_0 \): [Select an answer] [Select an answer] [Select an answer] (please enter a decimal) - \( H_1 \): [Select an answer] [Select an answer] [Select an answer] (please enter a decimal) b. The test statistic \( t \) = ______ (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 [Select an answer] α. e. Based on this, we should [Select an answer] the null hypothesis. f. Thus, the final conclusion is that … - O The results are statistically insignificant at α = 0.05, so there is insufficient evidence to conclude that the population mean rating for playing sports is greater than the population mean rating for watching sports. - O The results are statistically insignificant at α = 0.05, 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 α = 0.05, so there is sufficient evidence to conclude that the ten students that were surveyed rated playing sports higher than watching sports on average. - O The results are statistically significant at α = 0.05, so there is sufficient evidence to conclude that the population mean rating for playing sports is greater than the population mean rating for watching sports.
Expert Solution
steps

Step by step

Solved in 5 steps with 10 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman