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 68 100 88 26-30 110 93 52 31-40 90 88 69 Over 40 68 66 49 What can be concluded at the αα = 0.10 significance level? What is the correct statistical test to use? Goodness-of-Fit Homogeneity Independence Paired t-test What are the null and alternative hypotheses? H0:H0: Age and sport preference are independent. 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. H1:H1: The age distribution is the same for each sport. Age and sport preference are dependent. Age and sport preference are independent. The age distribution is not the same for each sport. 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 A.Graeter, B. Less than αα 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 the age distribution is not the same for each sport. There is insufficient evidence to conclude that age and sport are dependent. There is sufficient evidence to conclude that age and sport are dependent. There is sufficient evidence to conclude that age and sport are independent.

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

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	68	100	88
26-30	110	93	52
31-40	90	88	69
Over 40	68	66	49

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

What is the correct statistical test to use?
- Goodness-of-Fit
- Homogeneity
- Independence
- Paired t-test
What are the null and alternative hypotheses?
H0:H0:
- Age and sport preference are independent.
- 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.
H1:H1:
- The age distribution is the same for each sport.
- Age and sport preference are dependent.
- Age and sport preference are independent.
- The age distribution is not the same for each sport.
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 A.Graeter, B. Less than αα
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 the age distribution is not the same for each sport.
- There is insufficient evidence to conclude that age and sport are dependent.
- There is sufficient evidence to conclude that age and sport are dependent.
- There is sufficient evidence to conclude that age and sport are independent.