Do college students enjoy playing sports more than watchingsports? A researcher randomly selected ten college students andasked them to rate playing sports and watching sports on a scalefrom 1 to 10 with 1 meaning they have no interest and 10 meaningthey absolutely love it. The results of the study are shownbelow.
Playing Vs. Watching Sports| Play | 2 | 9 | 1 | 1 | 3 | 4 | 7 | 10 | 6 | 3 |
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| Watch | 1 | 8 | 1 | 1 | 5 | 1 | 7 | 9 | 2 | 3 |
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Assume a Normal distribution. What can be concluded at the the?? = 0.10 level of significance level of significance?
For this study, we should use Select an answerz-test for thedifference between two population proportionst-test for thedifference between two dependent population meansz-test for apopulation proportiont-test for the difference between twoindependent population meanst-test for a population mean
- The null and alternative hypotheses would be:
-
H0:H0: Select an answerp1?d?1 ?=>?< Select ananswer0?2p2 (please enter a decimal)
H1:H1: Select an answer?d?1p1 ?<=>? Select ananswerp20?2 (Please enter a decimal)
- The test statistic ?zt = (please show your answer to 3 decimalplaces.)
- The p-value = (Please show your answer to 4 decimalplaces.)
- The p-value is ??> ??
- Based on this, we should Select an answerfail torejectrejectaccept the null hypothesis.
- Thus, the final conclusion is that ...
- The results are statistically insignificant at ?? = 0.10, sothere is insufficient evidence to conclude that the population meanrating for playing sports is greater than the population meanrating for watching sports.
- The results are statistically insignificant at ?? = 0.10, sothere is statistically significant evidence to conclude that thepopulation mean rating for playing sports is equal to thepopulation mean rating for watching sports.
- The results are statistically significant at ?? = 0.10, sothere is sufficient evidence to conclude that the ten students thatwere surveyed rated playing sports higher than watching sports onaverage.
- The results are statistically significant at ?? = 0.10, sothere is sufficient evidence to conclude that the population meanrating for playing sports is greater than the population meanrating for watching sports.
