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. The null hypothesis that is being tested is A) H₀: μ = 150. B) H₀: μ = 75. C) H₀: p = .2. D) H₀: p = .5.

Question

Quizplus · Accepted Answer

The null hypothesis in this context is testing if there is no difference in preference among the students, which implies an equal distribution of preferences. Since there are two main preferences (10-minute break or going out early), a null hypothesis suggesting that the population proportion (p) preferring one option over the other is 0.5 (or 50%) would imply no preference, making D the correct choice.

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