Do college students enjoy playing sports less 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 5 3 7 1 7 8 1 9 1 9 Watch 8 2 4 1 10 5 7 10 3 10 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        The null and alternative hypotheses would be:        H0:H0:                  (please enter a decimal)     H1:H1:                  (Please enter a decimal) The test statistic   = ? (show 3 decimal places.) The p-value =  ? (show to 4 decimal places , p-value is  ? than αα and we need to reject, fail to reject or accept null? Thus, the final conclusion is that ... 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 lower than watching sports on average. 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 insignificant at αα = 0.01, so there is insufficient evidence to conclude that the population mean rating for playing sports is less than 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 population mean rating for playing sports is less than the population mean rating for watching sports.

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Author:Amos Gilat
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Do college students enjoy playing sports less 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 5 3 7 1 7 8 1 9 1 9
Watch 8 2 4 1 10 5 7 10 3 10

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       

  1. The null and alternative hypotheses would be:   
  2.   

 H0:H0:                  (please enter a decimal)   

 H1:H1:                  (Please enter a decimal)

  1. The test statistic   = ? (show 3 decimal places.) The p-value =  ? (show to 4 decimal places ,
  2. p-value is  ? than αα and we need to reject, fail to reject or accept null?
  3. Thus, the final conclusion is that ...
    • 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 lower than watching sports on average.
    • 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 insignificant at αα = 0.01, so there is insufficient evidence to conclude that the population mean rating for playing sports is less than 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 population mean rating for playing sports is less than the population mean rating for watching sports.
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