If you conducted a third test of independence between admission and department with the following hypotheses, you would reject the null hypothesis and conclude that gender and department are not independent (P-value = 0.000). Ho: H₂: Admission and department are independent. Admission and department are not independent. Specifically, departments A and B admit a greater percentage of students than would be expected there were no relationship, while departments D, E, and F admit a smaller percentage of students. In light of these two test results and the following graph, explain why the university is actually not guilty of bias, even though the overall percentage of women admitted is significantly less than the percentage of men admitted. 80- Percent of Applicants Admitted by Gender and Department

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Please help with question: Explain why the university is actually not guilty of bias, even though the overall percentage of women admitted is significantly less than the percentage of men admitted.

If you conducted a third test of independence between admission and department with the following hypotheses, you would reject the null hypothesis and conclude that gender and department are
not independent (P-value = 0.000).
Ho:
H₁:
Specifically, departments A and B admit a greater percentage of students than would be expected if there were no relationship, while departments D, E, and F admit a smaller percentage of
students.
In light of these two test results and the following graph, explain why the university is actually not guilty of bias, even though the overall percentage of women admitted is significantly less than
the percentage of men admitted.
ercent Admitted
80-
60-
Admission and department are independent.
Admission and department are not independent.
20-
0-
82%
Percent of Applicants Admitted by Gender and Department
62%
68%
B
63%
34%
ć
37%
35%
Department
D
33%
24%
F
28%
7%
6%
gender
female
male
i
Transcribed Image Text:If you conducted a third test of independence between admission and department with the following hypotheses, you would reject the null hypothesis and conclude that gender and department are not independent (P-value = 0.000). Ho: H₁: Specifically, departments A and B admit a greater percentage of students than would be expected if there were no relationship, while departments D, E, and F admit a smaller percentage of students. In light of these two test results and the following graph, explain why the university is actually not guilty of bias, even though the overall percentage of women admitted is significantly less than the percentage of men admitted. ercent Admitted 80- 60- Admission and department are independent. Admission and department are not independent. 20- 0- 82% Percent of Applicants Admitted by Gender and Department 62% 68% B 63% 34% ć 37% 35% Department D 33% 24% F 28% 7% 6% gender female male i
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