# Ms. Harper knows that her students in a computing course can choose from one of three operating systems for the semester: Doors, Banana, or Duix. Ms. Harper wants to test the hypothesis that her students will select the operating systems in the same proportion as students in other computing courses at the university. She conducts a χ2 goodness-of-fit test and calculates χ2=3.79 with a corresponding p-value of 0.15. Which of the following is correct at a 5-percent level of significance? A) Reject the null hypothesis, since 3.79>2. B) Fail to reject the null hypothesis, since 3.79>2. C) Reject the null hypothesis, since 0.15>0.05. D) Fail to reject the null hypothesis, since 0.15>0.05. E) Reject the null hypothesis, since 0.15<3.790.

Ms. Harper knows that her students in a computing course can choose from one of three operating systems for the semester: Doors, Banana, or Duix. Ms. Harper wants to test the hypothesis that her students will select the operating systems in the same proportion as students in other computing courses at the university. She conducts a χ2 goodness-of-fit test and calculates χ2=3.79 with a corresponding p-value of 0.15. Which of the following is correct at a 5-percent level of significance?

A) Reject the null hypothesis, since 3.79>2.

B) Fail to reject the null hypothesis, since 3.79>2.

C) Reject the null hypothesis, since 0.15>0.05.

D) Fail to reject the null hypothesis, since 0.15>0.05.

E) Reject the null hypothesis, since 0.15<3.790.

## Answer

Answer: D) Fail to reject the null hypothesis, since 0.15>0.05.

Explanation: Since the p-value (0.15) is greater than the significance level (0.05), we fail to reject the null hypothesis.