Is the racial distribution for students on work study different from the racial distribution for students not on work study? The results of a recent study are shown below. Frequencies of Race for Students On and Not On Work Study White Black Hispanic Asian Other Work Study Not Work Study 70 44 97 68 20 106 70 83 83 40 What can be concluded at the a = 0.10 significance level a. What is the correct statistical test to use? O Paired t-test O Homogeneity O Goodness-of-Fit O Independence b. What are the null and alternative hypotheses? Ho: O The racial distribution for students on work study is not the same as it is for students not on work study. O Race and work study status are dependent. O The racial distribution for students on work study is the same as it is for students not on work study. O Race and work study status are independent. O Race and work study status are independent. Race and work study status are dependent. The racial distribution for students on work study is not the same as it is for students not on work study. O The racial distribution for students on work study is the same as it is for students not on work study. 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 reject the null O fail to reject the null O accept the null g. Thus, the final conclusion is... O There is sufficient evidence to conclude that the racial distribution for students on work study is not the same as it is for students not on work study. O There is insufficient evidence to conclude that race and work study status are dependent. O There is insufficient evidence to conclude that the racial distribution for students on work study is not the same as it is for students not on work study. O There is sufficient evidence to conclude that the racial distribution for students on work study is the same as it is for students not on work study. O There is sufficient evidence to conclude that race and work study status are dependent.

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Is the racial distribution for students on work study different from the racial distribution for students not
on work study? The results of a recent study are shown below.
Frequencies of Race for Students On and Not On Work Study
Black Hispanic
White
Asian
Other
Work Study
Not Work Study
70
44
97
68
20
106
70
83
83
40
What can be concluded at the a = 0.10 significance level
a. What is the correct statistical test to use?
O Paired t-test
O Homogeneity
Goodness-of-Fit
O Independence
b. What are the null and alternative hypotheses?
Ho:
O The racial distribution for students on work study is not the same as it is for students not on
work study.
Race and work study status are dependent.
O The racial distribution for students on work study is the same as it is for students not on work
study.
O Race and work study status are independent.
H1:
Race and work study status are independent.
Race and work study status are dependent.
O The racial distribution for students on work study is not the same as it is for students not on
work study.
O The racial distribution for students on work study is the same as it is for students not on work
study.
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 eject the null
O fail to reject the null
O accept the null
g. Thus, the final conclusion is...
O There is sufficient evidence to conclude that the racial distribution for students on work study
is not the same as it is for students not on work study.
O There is insufficient evidence to conclude that race and work study status are dependent.
O There is insufficient evidence to conclude that the racial distribution for students on work
study is not the same as it is for students not on work study.
O There is sufficient evidence to conclude that the racial distribution for students on work study
is the same as it is for students not on work study.
O There is sufficient evidence to conclude that race and work study status are dependent.
Transcribed Image Text:Is the racial distribution for students on work study different from the racial distribution for students not on work study? The results of a recent study are shown below. Frequencies of Race for Students On and Not On Work Study Black Hispanic White Asian Other Work Study Not Work Study 70 44 97 68 20 106 70 83 83 40 What can be concluded at the a = 0.10 significance level a. What is the correct statistical test to use? O Paired t-test O Homogeneity Goodness-of-Fit O Independence b. What are the null and alternative hypotheses? Ho: O The racial distribution for students on work study is not the same as it is for students not on work study. Race and work study status are dependent. O The racial distribution for students on work study is the same as it is for students not on work study. O Race and work study status are independent. H1: Race and work study status are independent. Race and work study status are dependent. O The racial distribution for students on work study is not the same as it is for students not on work study. O The racial distribution for students on work study is the same as it is for students not on work study. 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 eject the null O fail to reject the null O accept the null g. Thus, the final conclusion is... O There is sufficient evidence to conclude that the racial distribution for students on work study is not the same as it is for students not on work study. O There is insufficient evidence to conclude that race and work study status are dependent. O There is insufficient evidence to conclude that the racial distribution for students on work study is not the same as it is for students not on work study. O There is sufficient evidence to conclude that the racial distribution for students on work study is the same as it is for students not on work study. O There is sufficient evidence to conclude that race and work study status are dependent.
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