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 Ha : ρ ≠ .25
B) H0 : p = .25 Ha : p ≠ .25
C) H0 : μ = .25 Ha : μ ≠ .25
D) H0 : p ≤ .25 Ha : p .25

Question

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 Ha : ρ ≠ .25
B) H0 : p = .25 Ha : p ≠ .25
C) H0 : μ = .25 Ha : μ ≠ .25
D) H0 : p ≤ .25 Ha : p > .25

Quizplus · Accepted Answer

The correct choice is B) H0: p = .25 Ha: p ≠ .25 because the hypothesis is testing a proportion (p) of the population that prefers Woof Chow as their regular brand, not a correlation (ρ) or a mean (μ), and it is testing for a difference from 25% (not just greater than or equal to).

Woof Chow Dog Food Company Believes That It Has a Market