Twenty-five college seniors were given two brands of organic hamburgers to sample: Burger A and Burger B. Four students preferred Burger A and 21 preferred Burger B. A statistician wants to determine if one of the burgers is preferred over the other. The null hypothesis for this scenario is ________. A)H₀: μ = 5.0 B)H₀: π = 5.0 C)H₀: μ = 0.5 D)H₀: π = 0.5

Question

Quizplus · Accepted Answer

The null hypothesis should be stated in terms of statistical parameters, usually the population mean or proportion. In this case, since we are comparing the proportion of students who preferred Burger A to the proportion who preferred Burger B, the null hypothesis should be stated as H₀: π = 0.5, where π represents the true proportion of students who prefer either brand of burger (which would be 0.5 if there is no preference).

Twenty-Five College Seniors Were Given Two Brands of Organic Hamburgers