Homework Help is Here – Start Your Trial Now!
Math
Statistics
A fitness trainer is interested in investigating whether ethnicity and the first exercise activity that members engage in ar dependent. The table below shows the results of the trainer's observation of randomly selected members. Frequencies of Ethnicity and Exercise Activity Cardio Weight Machines 84 84 68 48 White Hispanic Black Other 98 97 51 70 Goodness-of-Fit Free Weights 81 98 69 41 What can be concluded at the = 0.05 significance level? a. What is the correct statistical test to use?

A fitness trainer is interested in investigating whether ethnicity and the first exercise activity that members engage in ar dependent. The table below shows the results of the trainer's observation of randomly selected members. Frequencies of Ethnicity and Exercise Activity Cardio Weight Machines 84 84 68 48 White Hispanic Black Other 98 97 51 70 Goodness-of-Fit Free Weights 81 98 69 41 What can be concluded at the = 0.05 significance level? a. What is the correct statistical test to use?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
A fitness trainer is interested in investigating whether ethnicity and the first exercise activity that members engage in are dependent. The table below shows the results of the trainer's observation of randomly selected members. Frequencies of Ethnicity and Exercise Activity Weight Machines White Hispanic Black Other Cardio 84 84 68 48 98 97 51 70 O Homogeneity O Independence Free Weights 81 98 69 41 What can be concluded at the α = 0.05 significance level? a. What is the correct statistical test to use? O Goodness-of-Fit Paired t-test b. What are the null and alternative hypotheses? Ho: O Ethnicity and first exercise activity are dependent. O Ethnicity and first exercise activity are independent. O The distribution of first exercise activity is not the same for each ethnicity. O The distribution of first exercise activity is the same for each ethnicity. H₁: O The distribution of first exercise activity is the same for each ethnicity. O Ethnicity and first exercise activity are dependent. O The distribution of first exercise activity is not the same for each ethnicity. O Ethnicity and first exercise activity are independent.
Transcribed Image Text:A fitness trainer is interested in investigating whether ethnicity and the first exercise activity that members engage in are dependent. The table below shows the results of the trainer's observation of randomly selected members. Frequencies of Ethnicity and Exercise Activity Weight Machines White Hispanic Black Other Cardio 84 84 68 48 98 97 51 70 O Homogeneity O Independence Free Weights 81 98 69 41 What can be concluded at the α = 0.05 significance level? a. What is the correct statistical test to use? O Goodness-of-Fit Paired t-test b. What are the null and alternative hypotheses? Ho: O Ethnicity and first exercise activity are dependent. O Ethnicity and first exercise activity are independent. O The distribution of first exercise activity is not the same for each ethnicity. O The distribution of first exercise activity is the same for each ethnicity. H₁: O The distribution of first exercise activity is the same for each ethnicity. O Ethnicity and first exercise activity are dependent. O The distribution of first exercise activity is not the same for each ethnicity. O Ethnicity and first exercise activity are independent.
H₁ O The distribution of first exercise activity is the same for each ethnicity. O Ethnicity and first exercise activity are dependent. O The distribution of first exercise activity is not the same for each ethnicity. O Ethnicity and first exercise activity are independent. c. The test-statistic for this data = d. The p-value for this sample= e. The p-value is Select an answer f. Based on this, we should O accept the null reject the null O fail to reject the null a Hint: Helpful Video [+] Textbook Pages Help (Please show your answer to three decimal places.) (Please show your answer to four decimal places.) g. Thus, the final conclusion is... O There is sufficient evidence to conclude that ethnicity and first exercise activity are independent. O There is insufficient evidence to conclude that ethnicity and first exercise activity are dependent. O There is insufficient evidence to conclude that the distribution of first exercise activity is not the same for each ethnicity. O There is sufficient evidence to conclude that ethnicity and first exercise activity are dependent. O There is sufficient evidence to conclude that the distribution of first exercise activity is not the same for each ethnicity.
Transcribed Image Text:H₁ O The distribution of first exercise activity is the same for each ethnicity. O Ethnicity and first exercise activity are dependent. O The distribution of first exercise activity is not the same for each ethnicity. O Ethnicity and first exercise activity are independent. c. The test-statistic for this data = d. The p-value for this sample= e. The p-value is Select an answer f. Based on this, we should O accept the null reject the null O fail to reject the null a Hint: Helpful Video [+] Textbook Pages Help (Please show your answer to three decimal places.) (Please show your answer to four decimal places.) g. Thus, the final conclusion is... O There is sufficient evidence to conclude that ethnicity and first exercise activity are independent. O There is insufficient evidence to conclude that ethnicity and first exercise activity are dependent. O There is insufficient evidence to conclude that the distribution of first exercise activity is not the same for each ethnicity. O There is sufficient evidence to conclude that ethnicity and first exercise activity are dependent. O There is sufficient evidence to conclude that the distribution of first exercise activity is not the same for each ethnicity.
Expert Solution
steps

Step by step

Solved in 5 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE 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
SEE MORE TEXTBOOKS