A researcher hypothesizes that people who currently own a Toyota automobile are less likely to believe Toyotas are dangerous than people who drive American made cars, who are in turn less likely to believe Toyotas are dangerous than people who do not drive. In conducting a one-way ANOVA with this data, how should the alternative hypothesis (H₁) be stated? A) H₁: not all μs are equal B) H₁: all μs are not equal C) H₁: H₁: Toyota

Question

A researcher hypothesizes that people who currently own a Toyota automobile are less likely to believe Toyotas are dangerous than people who drive American made cars, who are in turn less likely to believe Toyotas are dangerous than people who do not drive. In conducting a one-way ANOVA with this data, how should the alternative hypothesis (H₁) be stated? A) H₁: not all μs are equal B) H₁: all μs are not equal C) H₁: H₁: Toyota < American < Nondriver D) H₁: Toyota ≠ American ≠ Nondriver

Quizplus · Accepted Answer

The alternative hypothesis in a one-way ANOVA is typically stated as "not all group means (μs) are equal," which allows for the possibility that there is at least one group mean that is different from the others, without specifying the direction of the difference.

A Researcher Hypothesizes That People Who Currently Own a Toyota