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 6 8 6 7 3 5 2 6 5 8 Watch 6 4 9 5 171514 Assume a Normal distribution. What can be concluded at the the a = 0.10 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 i Select an answer Select an answer | (please enter a decimal) H: Select an ansvwer Select an answer Select an answer | (Please enter a decimal) |(please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) b. The test statistic 2 c. The p-value = d. The p-value is ? ♥ a e. Based on this, we should Select an answer f. Thus, the final conclusion is that ... O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the ten students that were surveyed rated playing sports the same as watching sports on | the null hypothesis. average. O The results are statistically significant at a = 0.10, 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. O The results are statistically insignificant at a = 0.10, 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. O The results are statistically insignificant at a = 0.10, 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 6 86 7 3 5 26 58
Watch 6 49 5 17 15 14
Assume a Normal distribution. What can be concluded at the the a = 0.10 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
Select an answer v
Select an answer v (please enter a decimal)
H: Select an answer
Select an answer v Select an answer
| (Please enter a decimal)
b. The test statistic ?v =
(please show your answer to 3 decimal places.)
c. The p-value =
d. The p-value is ? v a
e. Based on this, we should Select an answer
f. Thus, the final conclusion is that .
O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude
that the ten students that were surveyed rated playing sports the same as watching sports on
(Please show your answer to 4 decimal places.)
the null hypothesis.
...
average.
O The results are statistically significant at a = 0.10, 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.
O The results are statistically insignificant at a = 0.10, 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.
O The results are statistically insignificant at a = 0.10, 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.
Transcribed Image Text: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 6 86 7 3 5 26 58 Watch 6 49 5 17 15 14 Assume a Normal distribution. What can be concluded at the the a = 0.10 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 Select an answer v Select an answer v (please enter a decimal) H: Select an answer Select an answer v Select an answer | (Please enter a decimal) b. The test statistic ?v = (please show your answer to 3 decimal places.) c. The p-value = d. The p-value is ? v a e. Based on this, we should Select an answer f. Thus, the final conclusion is that . O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the ten students that were surveyed rated playing sports the same as watching sports on (Please show your answer to 4 decimal places.) the null hypothesis. ... average. O The results are statistically significant at a = 0.10, 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. O The results are statistically insignificant at a = 0.10, 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. O The results are statistically insignificant at a = 0.10, 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.
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