A researcher hypothesizes that people with 'high' incomes will be more opposed to changes in the health care system than people with 'average' incomes, who in turn will be more opposed than people with 'low' incomes. In conducting a one-way ANOVA with this data, how could the null hypothesis (H₀) be stated? A) H₀: High Average Low B) H₀: not all μs are equal C) H₀: all μs are equal D) H₀: High ≠ Average ≠ Low

Question

A researcher hypothesizes that people with 'high' incomes will be more opposed to changes in the health care system than people with 'average' incomes, who in turn will be more opposed than people with 'low' incomes. In conducting a one-way ANOVA with this data, how could the null hypothesis (H₀) be stated? A) H₀: High > Average > Low B) H₀: not all μs are equal C) H₀: all μs are equal D) H₀: High ≠ Average ≠ Low

Quizplus · Accepted Answer

The null hypothesis should state that all means are equal, which is H₀: all μs are equal. This is because the researcher is testing whether income level has any effect on opposition to changes in the health care system, and thus, if all means are equal, there is no effect of income level. Therefore, options A and D are incorrect since they suggest a specific order or relationship between the means. Option B is also incorrect since it doesn't specify in which direction the means differ.

A Researcher Hypothesizes That People with 'High' Incomes Will Be