. The data below show sport preference and age of participant from a random sample of members of a sports club. Is there evidence to suggest that they are related? Tennis Swimming Basketball 18-25 76 97 100 26-30 91 100 92 31-40 81 68 77 Over 40 50 46 35 What can be concluded at the αα = 0.10 significance level? What is the correct statistical test to use? Independence Goodness-of-Fit Homogeneity Paired t-test What are the null and alternative hypotheses? H0: Age and sport preference are dependent. The age distribution is the same for each sport. The age distribution is not the same for each sport. Age and sport preference are independent. H1: Age and sport preference are dependent. The age distribution is not the same for each sport. The age distribution is the same for each sport. Age and sport preference are independent. The test-statistic for this data = (Please show your answer to three decimal places.) The p-value for this sample = (Please show your answer to four decimal places.) The p-value is α Based on this, we should fail to reject the null accept the null reject the null Thus, the final conclusion is... There is insufficient evidence to conclude that the age distribution is not the same for each sport There is sufficient evidence to conclude that age and sport are dependent. There is sufficient evidence to conclude that the age distribution is not the same for each sport. There is sufficient evidence to conclude that age and sport are independent. There is insufficient evidence to conclude that age and sport are dependent.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

31. The data below show sport preference and age of participant from a random sample of members of a sports club. Is there evidence to suggest that they are related?

	Tennis	Swimming	Basketball
18-25	76	97	100
26-30	91	100	92
31-40	81	68	77
Over 40	50	46	35

What can be concluded at the αα = 0.10 significance level?

What is the correct statistical test to use?
- Independence
- Goodness-of-Fit
- Homogeneity
- Paired t-test
What are the null and alternative hypotheses?
H0:
- Age and sport preference are dependent.
- The age distribution is the same for each sport.
- The age distribution is not the same for each sport.
- Age and sport preference are independent.
H1:
- Age and sport preference are dependent.
- The age distribution is not the same for each sport.
- The age distribution is the same for each sport.
- Age and sport preference are independent.
The test-statistic for this data = (Please show your answer to three decimal places.)
The p-value for this sample = (Please show your answer to four decimal places.)
The p-value is α
Based on this, we should
- fail to reject the null
- accept the null
- reject the null
Thus, the final conclusion is...
- There is insufficient evidence to conclude that the age distribution is not the same for each sport
- There is sufficient evidence to conclude that age and sport are dependent.
- There is sufficient evidence to conclude that the age distribution is not the same for each sport.
- There is sufficient evidence to conclude that age and sport are independent.
- There is insufficient evidence to conclude that age and sport are dependent.