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? Frequencies of Sport Preference and Age Tennis Swimming Basketball 18-25 74 100 98 26-30 99 96 82 31-40 67 74 75 Over 40 85 59 64 What can be concluded at the αα = 0.05 significance level? What is the correct statistical test to use? Paired t-test Homogeneity Independence Goodness-of-Fit What are the null and alternative hypotheses? H0:H0: Age and sport preference are independent. The age distribution is not the same for each sport. Age and sport preference are dependent. The age distribution is the same for each sport. H1:H1: The age distribution is not the same for each sport. Age and sport preference are dependent. 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 Select an answer less than (or equal to) greater than αα Based on this, we should accept the null fail to reject the null reject the null Thus, the final conclusion is... There is sufficient evidence to conclude that age and sport are independent. 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 insufficient 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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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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?

Frequencies of Sport Preference and Age

	Tennis	Swimming	Basketball
18-25	74	100	98
26-30	99	96	82
31-40	67	74	75
Over 40	85	59	64

What can be concluded at the αα = 0.05 significance level?

What is the correct statistical test to use?
- Paired t-test
- Homogeneity
- Independence
- Goodness-of-Fit
What are the null and alternative hypotheses?
H0:H0:
- Age and sport preference are independent.
- The age distribution is not the same for each sport.
- Age and sport preference are dependent.
- The age distribution is the same for each sport.
H1:H1:
- The age distribution is not the same for each sport.
- Age and sport preference are dependent.
- 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 Select an answer less than (or equal to) greater than αα
Based on this, we should
- accept the null
- fail to reject the null
- reject the null
Thus, the final conclusion is...
- There is sufficient evidence to conclude that age and sport are independent.
- 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 insufficient 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.

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