Only parts c and d Is the racial 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 StudyBlack HispanicWhiteAsianOtherWork StudyNot Work Study96459356227664727239What can be concluded at the a = 0.01 significance level%3Da. What is the correct statistical test to use?O Goodness-of-FitO IndependencePaired t-testHomogeneityb. What are the null and alternative hypotheses?Но:O 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 onwork study.The racial distribution for students on work study is the same as it is for students not on workstudy. H1:O 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 onwork study.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.C. The test-statistic for this data14.582X (Please show your answer to three decimal places.)d. The p-value for this sample0.0057X (Please show your answer to four decimal places.)e. The p-value is | less than (or equal to) ▼f. Based on this, we shouldO reject the nullO accept the nullO fail to reject the nullg. Thus, the final conclusion is...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.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.There is sufficient exidence to conclude that the racial distribution for students on work study

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Description: Only parts c and d Is the racial 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 StudyBlac

Answered: C. The test-statistic for this data =…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Only parts c and d

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
96
45
93
56
22
76
64
72
72
39
What can be concluded at the a = 0.01 significance level
%3D
a. What is the correct statistical test to use?
O Goodness-of-Fit
O Independence
Paired t-test
Homogeneity
b. What are the null and alternative hypotheses?
Но:
O 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.
The racial distribution for students on work study is the same as it is for students not on work
study.

H1:
O 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.
O Race and work study status are independent.
C. The test-statistic for this data
14.582
X (Please show your answer to three decimal places.)
d. The p-value for this sample
0.0057
X (Please show your answer to four decimal places.)
e. The p-value is | less than (or equal to) ▼
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...
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.
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.
There is sufficient exidence to conclude that the racial distribution for students on work study

Expert Solution

Step 1 : Part c)

It is asked to find test statistic for the given data.

To find test statistic we'll perform chi-square test.

The formula to find test statistic chi-square is as follows;

Where ,

O is the observed count and it is given in this example.

E is the expected count and to find this formula is ,

$E = \frac{Row total \times Column total}{Grand total}$

First step is to find Row and column total for the given data set.

Note : Grand total is 635.

Let's find expected counts now.

Step 2

Expected count , E :

	white	Black	Hispanic	Asian	Other
Work study	$\frac{312 \times 172}{635}$ =84.51	$\frac{312 \times 109}{635}$ =53.56	$\frac{312 \times 165}{635}$ =81.07	$\frac{312 \times 128}{635}$ =62.89	$\frac{312 \times 61}{635}$ =29.97
Not work study	$\frac{323 \times 172}{635}$ =87.49	$\frac{323 \times 109}{635}$ =55.44	$\frac{323 \times 165}{635}$ =83.93	$\frac{323 \times 128}{635}$ =65.11	$\frac{323 \times 61}{635}$ =31.039

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