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.

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**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.
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