Question

The following contingency table shows the distribution of grades earned by students taking a mid term test in an MBA​ class, categorized by the number of hours the students spent studying for the test. Complete parts a. and b. below.

Grade

Time Spent Studying

A

B

C

Less than 3 hours

6

16

9

3–5

hours

12

11

8

More than 5 hours

21

11

7

a. Using

α=0.01​,

perform a​ chi-square test to determine if a​ student's grade on the test and the hours spent studying for it are independent of one another.

Identify the null and alternative hypotheses for a​ chi-square test of independence based on the information in the table. Choose the correct answer below.

A.

H0​:

The variables​ A, B,​ C, less than 3​ hours,

3–5

​hours, and more than 5 hours are independent.

H1​:

At least one of the variables is not independent.

B.

H0​:

Grade and time spent studying are not independent of one another.

H1​:

Grade and time spent studying are independent of one another.

C.

H0​:

The variables​ A, B,​ C, less than 3​ hours,

3–5

​hours, and more than 5 hours are independent.

H1​:

None of the variables are independent.

D.

H0​:

Grade and time spent studying are independent of one another.

H1​:

Grade and time spent studying are not independent of one another. Your answer is correct.

Find the​ chi-square test statistic.

χ2=nothing

​(Round to two decimal places as​ needed.)

Answer 1

ANSWERS:

A)Choose the correct answer below.

Ans: B. Upper H 0 : Grade and time spent studying are independent of one another. Upper H 1 : Grade and time spent studying are not independent of one another.

B) Find the​ chi-square test statistic. Check attanchment