Woof Chow Dog Food Company believes that it has a market share of 25 percent.It surveys n = 100 dog owners and ask whether or not Woof Chow is their regular brand of dog food.The appropriate null and alternate hypotheses are: A)H₀ : ρ = .25 H_a : ρ ≠ .25 B)H₀ : p = .25 H_a : p ≠ .25 C)H₀ : μ = .25 H_a : μ ≠ .25 D)H₀ : p ≤ .25

Question

Quizplus · Accepted Answer

Since we are dealing with categorical data (whether or not Woof Chow is their regular brand of dog food) and estimating a proportion of dog owners who use that brand, the appropriate null and alternate hypotheses involve the proportion (p). Therefore, the best choice is B, where H₀ represents the null hypothesis that the true proportion of dog owners who use Woof Chow is 0.25, and H_a represents the alternate hypothesis that the true proportion is not equal to 0.25.

Woof Chow Dog Food Company Believes That It Has a Market