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

ID: 3222808 • Letter: A

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: Determine if there is evidence at the .05 level that the acceptance rates for each school varies by gender. chi^2 = P-value: There (is/is not) statistical evidence at the .05 level that the acceptance rates for each school varies by gender.

Explanation / Answer

expected count is given in expected section

X2 =0.0024

p value= 1.0000

there si not statistical evidnece...........

Observed O Business Engg Lib Science Total male 350 225 310 315 1200 female 234 150 206 210 800 Total 584 375 516 525 2000 Expected E=rowtotal*column total/grand total Business Engg Lib Science Total male 350.400 225.000 309.600 315.000 1200 female 233.600 150.000 206.400 210.000 800 Total 584 375 516 525 2000 chi square =(O-E)^2/E Business Engg Lib Science Total male 0.000 0.000 0.001 0.000 0.001 female 0.001 0.000 0.001 0.000 0.001 Total 0.001 0.000 0.001 0.000 0.002
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