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

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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