A researcher hypothesizes people who don't smoke will be more in favor of laws banning smoking in public places than either people who smoke cigarettes or people who smoke cigars (the two groups of smokers do not differ in their beliefs). In conducting a one-way ANOVA with these three groups, how should the alternative hypothesis (H₁) be stated? A) H₁: not all μs are equal B) H₁: Nonsmoker ≠ Cigarettes ≠ Cigars C) H₁: Nonsmoker Cigarettes = Cigars D) H₁: all μs are unequal

Question

A researcher hypothesizes people who don't smoke will be more in favor of laws banning smoking in public places than either people who smoke cigarettes or people who smoke cigars (the two groups of smokers do not differ in their beliefs). In conducting a one-way ANOVA with these three groups, how should the alternative hypothesis (H₁) be stated? A) H₁: not all μs are equal B) H₁: Nonsmoker ≠ Cigarettes ≠ Cigars C) H₁: Nonsmoker > Cigarettes = Cigars D) H₁: all μs are unequal

Quizplus · Accepted Answer

The alternative hypothesis should state that not all of the means are equal, which is represented by option A (H₁: not all μs are equal).

A Researcher Hypothesizes People Who Don't Smoke Will Be More