A researcher hypothesizes that voters who identify themselves as being part of the 'Tea Party' are more likely to believe people have the right to wear guns in public places than will voters who consider themselves to be either 'Conservative' or 'Moderate' (whose beliefs do not differ from each other). In conducting a one-way ANOVA with this data, how could the null hypothesis (H₀) be stated? A) H₀: Tea Party Conservative = Moderate B) H₀: not all μs are equal C) H₀: all μs are equal D) H₀: Tea Party ≠ Conservative = Moderate

Question

A researcher hypothesizes that voters who identify themselves as being part of the 'Tea Party' are more likely to believe people have the right to wear guns in public places than will voters who consider themselves to be either 'Conservative' or 'Moderate' (whose beliefs do not differ from each other). In conducting a one-way ANOVA with this data, how could the null hypothesis (H₀) be stated? A) H₀: Tea Party > Conservative = Moderate B) H₀: not all μs are equal C) H₀: all μs are equal D) H₀: Tea Party ≠ Conservative = Moderate

Quizplus · Accepted Answer

The null hypothesis should state that all means are equal, as it assumes that there is no significant difference between the groups being compared. Therefore, the correct statement for the null hypothesis is H₀: all μs are equal.

A Researcher Hypothesizes That Voters Who Identify Themselves as Being