A Researcher Wants to Determine the Difference in Scores for Three

question 8

Multiple Choice

A researcher wants to determine the difference in scores for three dentist clinics by the patients' responses. The scores (from 0 to 10) were taken from the official websites of each clinic for the study. These are the data of the scores. Conduct the Kruskal-Wallis test and make a conclusion about the acceptance or rejection of the null hypothesis. Use α = 0.05.

• A) The test statistic is KW = 3.68, it is less than the critical value forα = 0.05 and therefore we fail to reject the null hypothesis that all clinics have the same scores.
• B) The test statistic is KW = 8.19 , it is less than the critical value for α = 0.05 and therefore we fail to reject the null hypothesis that all clinics have the same scores.
• C) The test statistic is KW = 3.68, it is more than the critical value for α = 0.05 and therefore we reject the null hypothesis that all clinics have the same scores.
• D) The test statistic is KW = 8.19, it is more than the critical value for α = 0.05and therefore we reject the null hypothesis that all clinics have the same scores.

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Definitions:

Experimental Method

A research method designed to test hypotheses and establish cause-and-effect relationships through manipulation and controlled conditions.

Population

The total number of individuals of a species living in a particular area or environment, considered together as a group for study in various sciences.

Biased Sample

A sample that does not accurately represent the population from which it was drawn, due to systematic exclusion of some part of the population.

Double-Blind Control

An experimental setup where neither the participants nor the experimenters know who is receiving a particular treatment, minimizing bias.