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 1 1 85 95 27 29 Watch 4 2 10 10 9 10 19 2 10 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 Select an answer (please enter a decimal) H₁: Select an answer Select an answer ✓ Select an answer (Please enter a decimal) b. The test statistic ? = (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 ? a 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 a = 0.10, 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. 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 lower than watching sports on average. 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. 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 less than the population mean rating for watching sports. Type here to search

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 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
1 1 8 5 95
27 29
Watch 4 2 10 10 9 10 1 9 2 10
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 Select an answer
decimal)
(please enter a
(Please enter a decimal)
H₁: Select an answer
Select an answer ✓
Select an answer
b. The test statistic ? =
(please show your answer 3 decimal places.)
c. The p-value =
(Please show your answer to 4 decimal places.)
d. The p-value is ? a
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 a = 0.10, 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.
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 lower than watching sports on
average.
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.
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 less than the population mean rating for
watching sports.
Type here to search
H
hp
Transcribed Image Text: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 1 1 8 5 95 27 29 Watch 4 2 10 10 9 10 1 9 2 10 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 Select an answer decimal) (please enter a (Please enter a decimal) H₁: Select an answer Select an answer ✓ Select an answer b. The test statistic ? = (please show your answer 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) d. The p-value is ? a 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 a = 0.10, 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. 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 lower than watching sports on average. 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. 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 less than the population mean rating for watching sports. Type here to search H hp
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