Does college major depend on whether you are an athlete or not? A survey asks a group of college students about their majors. It also groups the students by whether they are athletes or not. The data are recorded in the contingency table below, and a chi-squareTest of Independenceat the1%

significancelevel is performed.

(a)The null and alternative hypotheses are:

• H
• 0
• : The two variables are independent, so being an athlete doesnotaffect college major.
• H
• a
• : The two variables are dependent, so being an athlete does affect college major.

(b)

2

0

=11.4

(c)Determine the critical valueusing the following portion of the

2

-table.

df

1

2

3

4

5

6

2

0.10

2.706

4.605

6.251

7.779

9.236

10.645

2

0.05

3.841

5.991

7.815

9.488

11.070

12.592

2

0.025

5.024

7.378

9.348

11.143

12.833

14.449

2

0.01

6.635

9.210

11.345

13.277

15.086

16.812

2

0.005

7.879

10.597

12.838

14.860

16.750

18.548

Provide your answer below:

$$

critical value =