Do college students enjoy playing sports more 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 3 9 4 2 10 9 3 3 8 1 Watch 3 10 3 1 6 8 3 7 4 1 Assume a Normal distribution.  What can be concluded at the the αα = 0.05 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:        H0:H0:  Select an answer μ1 μd p1  ? ≠ = < >  Select an answer p2 μ2 0  (please enter a decimal)     H1:H1:  Select an answer μd p1 μ1  ? = > ≠ <  Select an answer μ2 0 p2  (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 accept fail to reject reject  the null hypothesis. Thus, the final conclusion is that ... The results are statistically insignificant at αα = 0.05, so there is insufficient evidence to conclude that the population mean rating for playing sports is greater than the population mean rating for watching sports. The results are statistically insignificant at αα = 0.05, 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 = 0.05, so there is sufficient evidence to conclude that the population mean rating for playing sports is greater than the population mean rating for watching sports. The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the ten students that were surveyed rated playing sports higher than watching sports on average.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question

Do college students enjoy playing sports more 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 3 9 4 2 10 9 3 3 8 1
Watch 3 10 3 1 6 8 3 7 4 1

Assume a Normal distribution.  What can be concluded at the the αα = 0.05 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 

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

 H0:H0:  Select an answer μ1 μd p1  ? ≠ = < >  Select an answer p2 μ2 0  (please enter a decimal)   

 H1:H1:  Select an answer μd p1 μ1  ? = > ≠ <  Select an answer μ2 0 p2  (Please enter a decimal)

  1. The test statistic ? z t  = (please show your answer to 3 decimal places.)
  2. The p-value = (Please show your answer to 4 decimal places.)
  3. The p-value is ? > ≤  αα
  4. Based on this, we should Select an answer accept fail to reject reject  the null hypothesis.
  5. Thus, the final conclusion is that ...
    • The results are statistically insignificant at αα = 0.05, so there is insufficient evidence to conclude that the population mean rating for playing sports is greater than the population mean rating for watching sports.
    • The results are statistically insignificant at αα = 0.05, 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 = 0.05, so there is sufficient evidence to conclude that the population mean rating for playing sports is greater than the population mean rating for watching sports.
    • The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the ten students that were surveyed rated playing sports higher than watching sports on average.
Expert Solution
steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman