A researcher is examining whether different type of podcasts help employees be more productive. A sample of 30 employees from a national corporation were randomly assigned to one of three groups: 10 listen to true crime podcasts, 10 listen to pop culture podcasts, 10 listen to news podcasts. The 30 employees’ supervisors then rated their productivity on a scale from 1 (not at all productive) to 10 (very productive). Assume alpha of .05. What are the degrees of freedom in the numerator (AKA degrees of freedom between)? What are the degrees of freedom in the denominator (AKA degrees of freedom within)? What is the critical value?

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.