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 8 8 5 2 10 4 9 9 2 7 Watch 10 6 8 8 10 4 10 10 4 8 Assume a Normal distribution. What can be concluded at the the αα = 0.01 level of significance level of significance? For this study, we should use Select an answer z-test for the difference between two population proportions t-test for a population mean t-test for the difference between two independent population means z-test for a population proportion t-test for the difference between two dependent population means The null and alternative hypotheses would be:
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 | 8 | 8 | 5 | 2 | 10 | 4 | 9 | 9 | 2 | 7 |
---|---|---|---|---|---|---|---|---|---|---|
Watch | 10 | 6 | 8 | 8 | 10 | 4 | 10 | 10 | 4 | 8 |
Assume a Normal distribution. What can be concluded at the the αα = 0.01 level of significance level of significance?
For this study, we should use Select an answer z-test for the difference between two population proportions t-test for a population
- The null and alternative hypotheses would be:
H0:H0: Select an answer μ1 p1 μd Select an answer < ≠ = > Select an answer p2 0 μ2 (please enter a decimal)
H1:H1: Select an answer p1 μd μ1 Select an answer = < > ≠ Select an answer 0 p2 μ2 (Please enter a decimal)
- The test statistic ? z t = (please show your answer to 3 decimal places.)
- The p-value = (Please show your answer to 4 decimal places.)
- The p-value is ? > ≤ αα
- Based on this, we should Select an answer reject accept fail to reject the null hypothesis.
- Thus, the final conclusion is that ...
- The results are statistically insignificant at αα = 0.01, 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.
- The results are statistically insignificant at αα = 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.
- The results are statistically significant at αα = 0.01, so there is sufficient evidence to conclude that the ten students that were surveyed rated playing sports the same as watching sports on average.
- The results are statistically significant at αα = 0.01, so there is sufficient evidence to conclude that the population mean rating for playing sports is not the same as the population mean rating for watching sports.
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