Asked by Connor Romero on Jul 01, 2024
Verified
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
Null Hypothesis
A statement used in statistics that proposes there is no significant difference or effect, serving as the default or initial presumption to be tested.
One-way ANOVA
A statistical test that evaluates the differences between the means of three or more independent groups on a single factor.
High Incomes
Earnings that are substantially above the average or median level compared to a specific reference group or geographic area.
- Discern between null and alternative hypotheses in statistical analysis.
Verified Answer
ZK
Zybrea KnightJul 06, 2024
Final Answer :
C
Explanation :
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.
Learning Objectives
- Discern between null and alternative hypotheses in statistical analysis.