Question

In: Statistics and Probability

The admission office of famous university has a policy of offering equal opportunity to all applicants...

The admission office of famous university has a policy of offering equal opportunity to all applicants without regard to religion, race, color, height, weight, marital status, sexual orientation, age or gender. Here are some data on recent admission to the university’s first-year class:


Gender

Admitted

Not admitted

Female

370

130

Male

660

622

Perform an appropriate statistical procedure to demonstrate a gender bias in admission.

Solutions

Expert Solution

Answer to the question is as follows. Please let me know in case you've doubts.

We will perform the Chi-Square test of independence

Let's set up the hypothesis first:

Ho: Admission and gender are independent

Ha: Admission and gender are NOT independent

Below is the contingency table below.

It shows: the observed cell totals, (the expected cell totals) and [the chi-square statistic for each cell].

Results
admitted not-admitted Row Totals
female 370  (289.00)  [22.70] 130  (211.00)  [31.09] 500
male 660  (741.00)  [8.85] 622  (541.00)  [12.13] 1282
Column Totals 1030 752 1782  (Grand Total)

The chi-square statistic is 74.777.

The p-value is < .00001.

The result is significant at p < .05.

Answer: It means that "Yes, there is a gender bias in admission"

orchestra answered 2 years ago
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