A university admissions officer was concerned that males and females were accept

Question

A university admissions officer was concerned that males and females were accepted at different rates into the four different schools (business, engineering, liberal arts, and science) at her university. She collected the following data on the acceptance of 1200 males and 800 females who applied to the university: Determine the expected counts for each ROW: MALES: Business: Engineering Lib Arts Science FEMALES: Business: Engineering Lib Arts Science Determine if there is evidence at the .05 level that the acceptance rates for each school varies by gender. X^2 = P-value: Conclusion: There (is/is not) statistical evidence at the .05 level that the acceptance rates for each school varies by gender.

Explanation / Answer

The statistical software output for the given problem is:

Contingency table results:
Rows: var19
Columns: None

Chi-Square test:

So,

Expected counts:

Males: Business 350.4 Engineering 225 Lib Arts 309.6 Science 315

Females: Business 233.6 Engineering 150 Lib Arts 206.4 Science 210

X2 = 0.00243354

P - value = 1

Conclusion:

There is not statistical evidence at the 0.05 level that acceptance rates for each school varies by gender.

Cell format Count
(Expected count)

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