The following contingency table shows the distribution of grades earned by stude

Question

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

Time_Spent_Studying   A   B   C
Less_than_3_hours 6   19   11
3-5_hours 15   18   8
More_than_5_hours 18   10   4

a. Using alpha=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. H 0:Grade and time spent studying are independent of one another.

H 1:Grade and time spent studying are not independent of one another.

B. H 0: The variables A, B, C, less than 3 hours, 3-5 hours, and more than 5 hours are independent.

H 1:At least one of the variables is not independent.

C. H 0: Grade and time spent studying are not independent of one another.

H 1:Grade and time spent studying are independent of one another.

D. H 0: The variables A, B, C, less than 3 hours, 3-5 hours, and more than 5 hours are independent.

H 1: None of the variables are independent.

Find the chi-square test statistic.

Determine the p-value.

Determine the result of the test. (three decimal places)

The p-value is: greater than/less than alpha equals0.10, so reject/do not reject Upper H 0

b. What conclusions can be made based on these results?

There is insufficient/sufficient evidence to indicate that

Explanation / Answer

The statistical software output for this problem is:

Contingency table results:
Rows: Time Spent Studying
Columns: None

Chi-Square test:

Hence,

a) Hypotheses:

H 0:Grade and time spent studying are independent of one another.

H 1:Grade and time spent studying are not independent of one another.

Option A is correct.

Test statistic = 11.957

p - Value = 0.018

Less than; Reject

b) Sufficient

A B C Total Less than 3 hours 6 19 11 36 3 - 5 Hours 15 18 8 41 More than 5 Hours 18 10 4 32 Total 39 47 23 109

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.