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 Basketball 88 46 54 30 18-25 26-30 Tennis 98 104 Swimming 85 100 31-40 Over 40 62 63 40 63 What can be concluded at the a = 0.10 significance level? a. What is the correct statistical test to use? O Homogeneity O Paired t-test O Goodness-of-Fit O Independence b. What are the null and alternative hypotheses? Ho: O The age distribution is the same for each sport. O The age distribution is not the same for each sport. O Age and sport preference are dependent. O Age and sport preference are independent. H: Age and sport preference are independent. O The age distribution is not the same for each sport. Age and sport preference are dependent. O The age distribution is the same for each sport.

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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
Swimming
85
ATTI
Tennis
Basketball
18-25
98
88
26-30
104
100
46
31-40
62
63
40
54
30
Over 40
63
What can be concluded at the = 0.10 significance level?
a. What is the correct statistical test to use?
O Homogeneity
O Paired t-test
O Goodness-of-Fit
O Independence
b. What are the null and alternative hypotheses?
Ho:
O The age distribution is the same for each sport.
The age distribution is not the same for each sport.
O Age and sport preference are dependent.
O Age and sport preference are independent.
H1:
O Age and sport preference are independent.
O The age distribution is not the same for each sport.
O Age and sport preference are dependent.
O The age distribution is the same for each sport.
Transcribed Image Text: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 Swimming 85 ATTI Tennis Basketball 18-25 98 88 26-30 104 100 46 31-40 62 63 40 54 30 Over 40 63 What can be concluded at the = 0.10 significance level? a. What is the correct statistical test to use? O Homogeneity O Paired t-test O Goodness-of-Fit O Independence b. What are the null and alternative hypotheses? Ho: O The age distribution is the same for each sport. The age distribution is not the same for each sport. O Age and sport preference are dependent. O Age and sport preference are independent. H1: O Age and sport preference are independent. O The age distribution is not the same for each sport. O Age and sport preference are dependent. O The age distribution is the same for each sport.
c. The test-statistic for this data =
(Please show your answer to three decimal places.)
d. The p-value for this sample =
(Please show your answer to four decimal places.)
e. The p-value is Select an answer
f. Based on this, we should
O accept the null
O reject the null
O fail to reject the null
g. Thus, the final conclusion is...
O There is insufficient evidence to conclude that the age distribution is not the same for each
sport
O There is sufficient evidence to conclude that the age distribution is not the same for each
sport.
O There is sufficient evidence to conclude that age and sport are dependent.
O There is insufficient evidence to conclude that age and sport are dependent.
O There is sufficient evidence to conclude that age and sport are independent.
Transcribed Image Text:c. The test-statistic for this data = (Please show your answer to three decimal places.) d. The p-value for this sample = (Please show your answer to four decimal places.) e. The p-value is Select an answer f. Based on this, we should O accept the null O reject the null O fail to reject the null g. Thus, the final conclusion is... O There is insufficient evidence to conclude that the age distribution is not the same for each sport O There is sufficient evidence to conclude that the age distribution is not the same for each sport. O There is sufficient evidence to conclude that age and sport are dependent. O There is insufficient evidence to conclude that age and sport are dependent. O There is sufficient evidence to conclude that age and sport are independent.
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