An instructor has been accused of sexual discrimination in grading, a serious ch
ID: 3127421 • Letter: A
Question
An instructor has been accused of sexual discrimination in grading, a serious charge. The dean takes a random sample of 150 grades posted by the instructor in the past and arrives at the results shown in the table.
Male Students
Female Students
Grade A
15
19
Grade B
21
15
Grade C
26
16
Grade D
9
14
Grade F
9
6
The Dean is willing to take only a 5% risk of incorrectly supporting the charge of sexual discrimination. Formulate an appropriate null and alternative hypotheses.
Select one:
A. H0:Student grade and gender are dependent evet. Discrimination exist. AND Ha: Student grade and gender are independent event. No discrimination exist
B. H0:Student grade and gender are independent evet. discrimination exist. AND Ha: Student grade and gender are dependent event. No discrimination exist
C. H0:Student grade and gender are independent evet. No discrimination exist. AND Ha: Student grade and gender are dependent event. Discrimination exist
D. H0:Student grade and gender are dependent evet. No discrimination exist. AND Ha: Student grade and gender are independent event. Discrimination exist
An instructor has been accused of sexual discrimination in grading, a serious charge. The dean takes a random sample of 150 grades posted by the instructor in the past and arrives at the results shown in the table.
Male Students
Female Students
Grade A
15
19
Grade B
21
15
Grade C
26
16
Grade D
9
14
Grade F
9
6
The Dean is willing to take only a 5% risk of incorrectly supporting the charge of sexual discrimination. Calculate the appropriate critical statistic.
Select one:
A. 11.070
B. 12.832
C. 11.143
D. 9.488
An instructor has been accused of sexual discrimination in grading, a serious charge. The dean takes a random sample of 150 grades posted by the instructor in the past and arrives at the results shown in the table.
Male Students
Female Students
Grade A
15
19
Grade B
21
15
Grade C
26
16
Grade D
9
14
Grade F
9
6
The Dean is willing to take only a 5% risk of incorrectly supporting the charge of sexual discrimination. What would your recommendation to the dean.
Select one:
A. There is not enough data to draw any statistically significant conclusion.
B. Student grade and student gender are independent. There is no evidence of sexual discrimination in grading.
C. Student grade and student gender are dependent. There is evidence of sexual discrimination in grading.
D. We are going to draw same conclusion regardless of data set since the alpha is very small and P-value will always be greater than 5%.
Male Students
Female Students
Grade A
15
19
Grade B
21
15
Grade C
26
16
Grade D
9
14
Grade F
9
6
Explanation / Answer
The Dean is willing to take only a 5% risk of incorrectly supporting the charge of sexual discrimination. Formulate an appropriate null and alternative hypotheses.
C. H0:Student grade and gender are independent evet. No discrimination exist. AND Ha: Student grade and gender are dependent event. Discrimination exist [ANSWER]
*****************************
The Dean is willing to take only a 5% risk of incorrectly supporting the charge of sexual discrimination. Calculate the appropriate critical statistic.
With df = (a - 1)(b - 1), where a and b are the number of categories of each variable,
a = 2
b = 5
df = 4
Thus, the critical value is
significance level = 0.05
chi^2(critical) = 9.488 [ANSWER, D]
*******************************
The Dean is willing to take only a 5% risk of incorrectly supporting the charge of sexual discrimination. What would your recommendation to the dean.
Doing an Expected Value Chart,
18.13333333 15.86666667
19.2 16.8
22.4 19.6
12.26666667 10.73333333
8 7
Using chi^2 = Sum[(O - E)^2/E],
chi^2 = 4.893579714
As chi^2 < 9.488, we fail to reject Ho. Hence,
OPTION B. Student grade and student gender are independent. There is no evidence of sexual discrimination in grading. [ANSWER]
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