Students in statistics classes were asked whether they preferred a 10-minute break or to allow them go out of class 10 minutes early. In a sample of 150 students, 40 preferred a 10-minute break, 80 preferred going out 10 minutes early, and 30 had no preference. We want to determine if there is a difference in students' preferences. At the 1% level of significance, the null hypothesis should
A) be rejected.
B) not be rejected.
C) be revised.
D) not be tested.

Question

Quizplus · Accepted Answer

The null hypothesis in this context posits no difference in preferences among the students. Given the significant difference in the number of students preferring each option (40 vs. 80 vs. 30), at a 1% level of significance, statistical tests (e.g., chi-square test for goodness of fit) would likely show a significant difference in preferences, leading to the rejection of the null hypothesis.

Students in Statistics Classes Were Asked Whether They Preferred a 10-Minute