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 Cardio Free Weights White 84 80 100 Hispanic 82 85 92 Black 54 48 70 Other 50 55 66 What can be concluded at the a = 0.01 significance level?

MATLAB: An Introduction with Applications
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d. The p-value for this sample
(Please show your answer to four decimal places.)
%3D
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 sufficient evidence to conclude that the distribution of first exercise activity is not
the same for each ethnicity.
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
independent.
OThere is sufficient evidence to conclude that ethnicity and first exercise activity are
dependent.
O There is insufficient evidence to conclude that ethnicity and first exercise activity are
dependent.
Transcribed Image Text:d. The p-value for this sample (Please show your answer to four decimal places.) %3D 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 sufficient evidence to conclude that the distribution of first exercise activity is not the same for each ethnicity. 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 independent. OThere is sufficient evidence to conclude that ethnicity and first exercise activity are dependent. O There is insufficient evidence to conclude that ethnicity and first exercise activity are dependent.
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
80
85
Cardio
Free Weights
White
84
82
100
Hispanic
Black
Other
54
50
48
55
70
What can be concluded at the a 0.01 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
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.
O Ethnicity and first exercise activity are dependent.
HE
O The distribution of first exercise activity is the same for each ethnicity.
Ethnicity and first exercise activity are dependent.
Ethnicity and first exercise activity are independent.
OThe distribution of first exercise activity is not the same for each ethnicity.
(Please show your answer to three decimal places.)
c. The test-statistic for this data =
(Please show your answer to four decimal places.)
d. The p-value for this sample =
288
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 80 85 Cardio Free Weights White 84 82 100 Hispanic Black Other 54 50 48 55 70 What can be concluded at the a 0.01 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 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. O Ethnicity and first exercise activity are dependent. HE O The distribution of first exercise activity is the same for each ethnicity. Ethnicity and first exercise activity are dependent. Ethnicity and first exercise activity are independent. OThe distribution of first exercise activity is not the same for each ethnicity. (Please show your answer to three decimal places.) c. The test-statistic for this data = (Please show your answer to four decimal places.) d. The p-value for this sample = 288
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