Is the raclal distribution for students on work study different from the racial distribution for students noton work study? The results of a recent study are shown below.Frequencies of Race for Students On and Not On Work Studyother30WhiteBlackHispanicAslanWork Study99607868Not Work Study6071747432What can be concluded at the a = 0.01 significance levela. What is the correct statistical test to use?O IndependenceO Paired t-testO Goodness-of-FitF O Homogeneityb. What are the null and alternative hypotheses?Ho:O The racial distribution for students on work study is the same as it is for students not on workstudy.O Race and work study status are independent.O The racial distribution for students on work study is not the same as it is for students not onwork study.Race and work study status are dependent. H1:O Race and work study status are dependent.O Race and work study status are independent.O The racial distribution for students on work study is the same as it is for students not on workstudy.O The racial distribution for students on work study is not the same as it is for students not onwork 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 answerf. Based on this, we shouldO reject the nullO accept the nullO fail to reject the nullg. Thus, the final conclusion is..O There is sufficient evidence to conclude that the racial distribution for students on work studyis the same as it is for students not on work study.O There is insufficient evidence to conclude that the racial distribution for students on workstudy 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 studyis 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 sufficient evidence to conclude that race and work study status are dependent.

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O Independence O Patred t-test O Goodness-of-Fit F O Homogenetty b. What are the null and alternative hypotheses? Ho: 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. ar ctudonts on work study is not the same as it is for students not on

O Independence O Patred t-test O Goodness-of-Fit F O Homogenetty b. What are the null and alternative hypotheses? Ho: 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. ar ctudonts on work study is not the same as it is for students not on

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Concept explainers

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.

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Question

Is the raclal 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
other
30
White
Black
Hispanic
Aslan
Work Study
99
60
78
68
Not Work Study
60
71
74
74
32
What can be concluded at the a = 0.01 significance level
a. What is the correct statistical test to use?
O Independence
O Paired t-test
O Goodness-of-Fit
F O Homogeneity
b. What are the null and alternative hypotheses?
Ho:
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 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.

H1:
O Race and work study status are dependent.
O Race and work study status are independent.
O The racial distribution for students on work study is the same as it is for students not on work
study.
O The racial distribution for students on work study is not 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 accept the null
O fail to reject 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 the same as it is for students not on work study.
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 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 sufficient evidence to conclude that race and work study status are dependent.

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