In the past, 35% of the students at ABC University were in the Business College,

Question

In the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts College, and 30% of the students were in the Education College. To see whether or not the proportions have changed, a sample of 300 students was taken. Ninety of the sample students are in the Business College, 120 are in the Liberal Arts College, and 90 are in the Education College.

The p-value is:

a. between 0.01 and .025 b. between 0.025 and 0.05 c. greater than 0.1 d. between 0.05 and 0.1

Explanation / Answer

applying chi test on above

for above degree of freedom =2 and chi test stat =4.29

from chi square table p value =0.1173

c. greater than 0.1

observed Expected Chi square AR P O E=total*p =(O-E)^2/E business 0.35 90 105 2.14 liberal 0.35 120 105 2.14 education 0.3 90 90 0.00 300 300 4.29

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