What kind of tests are these? Can be linear regression, ANOVA, T test, etc... A

Question

What kind of tests are these? Can be linear regression, ANOVA, T test, etc...

A physician wants to determine if the percentage of patients experiencing decreased blood pressure differs by gender (Male or Female) while using a certain medication. A researcher at a university wishes to determine if occupational stress (a quantitative variable) of tenure-track university professors varies based upon their rank (Assistant, Associate, Full, or Distinguished). A chiropractor was interested in determining if there was a significant relationship between reported back pain (a quantitative variable) and the length of time an individual has worn their shoes. An academic advisor at the U of A wants to determine if the cumulative college GPA of students differs by home state (Arkansas, Oklahoma, Texas, or Other).

Explanation / Answer

Part-a

In this case two-sample test of proportions should be used because we have two groups male/female for which to compare the proportions of patients experiencing decreased blood pressure after medication.

Part-b

As we have more than two groups of ranks (assistant, associate, full , distinguished) and we have to compare quantitative variable occupational stress across groups , so we will use one-way ANOVA.

Part-c

For this correlation analysis will be used as we have to find linear relation between two quantitative variables pain and time.

Part-d

As GPA is quantitative which is to be compared in more than two states, so we should use one-way ANOVA

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