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

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

Answer: Here, we have to use the Chi square distribution for finding the critical value. We are given Level of significance = 5% = 0.05 Number of categories = n = 3 Degrees of freedom = n – 1 = 3 – 1 = 2 So, by using Chi square table or excel, we have Critical value = 5.991 (by using Chi square table) [Excel Command: =CHIINV(0.05,2)]

ID: 3226259 • Letter: I

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 from the university was taken Ninety of the sample students are in the Business College. 120 are in the Liberal Arts College. and 90 are an the Education College. The hypothesis is to be tested at the 5% level of significance. The critical value from the table equals a. 9.348. b. 5.991. c. 7378. d. 7.815.

Explanation / Answer

Answer:

Here, we have to use the Chi square distribution for finding the critical value.

We are given

Level of significance = 5% = 0.05

Number of categories = n = 3

Degrees of freedom = n – 1 = 3 – 1 = 2

So, by using Chi square table or excel, we have

Critical value = 5.991 (by using Chi square table)

[Excel Command: =CHIINV(0.05,2)]

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

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