Decide which hypothesis test is appropriate to use.Health researchers ran an experiment to compare the effectiveness of a new medication with the old medication and a placebo by measuring how long it took for the patients to feel relief from migraine.Group of answer choicesHypothesis testing for one population proportionHypothesis testing for one population meanHypothesis testing comparing two population proportionsHypothesis testing comparing two population means – independent samplesHypothesis testing comparing two population means – matched pair samplesANOVAChi-square test of independenceT-test for linear relationship
Question
Decide which hypothesis test is appropriate to use.Health researchers ran an experiment to compare the effectiveness of a new medication with the old medication and a placebo by measuring how long it took for the patients to feel relief from migraine.Group of answer choicesHypothesis testing for one population proportionHypothesis testing for one population meanHypothesis testing comparing two population proportionsHypothesis testing comparing two population means – independent samplesHypothesis testing comparing two population means – matched pair samplesANOVAChi-square test of independenceT-test for linear relationship
Solution
The appropriate hypothesis test for this scenario is ANOVA (Analysis of Variance). This is because the researchers are comparing the means of more than two groups (new medication, old medication, and placebo). ANOVA is used to determine whether there are any statistically significant differences between the means of three or more independent groups.
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