Set up the appropriate hypotheses to test the claim that less than 40 percent of the residents in this county are protected by earthquake insurance. A)H₀: p ≤ .39 vs H_A: p .39 B)H₀: p ≥ .40 vs H_A: p .40 D)H₀: p = .40 vs H_A: p ≠ .40 E)H₀: p ≠ .40 vs H_A: p = .40

Question

Set up the appropriate hypotheses to test the claim that less than 40 percent of the residents in this county are protected by earthquake insurance. A)H₀: p ≤ .39 vs H_A: p > .39 B)H₀: p ≥ .40 vs H_A: p < .40 C)H₀: p ≤ .40 vs H_A: p > .40 D)H₀: p = .40 vs H_A: p ≠ .40 E)H₀: p ≠ .40 vs H_A: p = .40

Quizplus · Accepted Answer

The null hypothesis (H0) should state there is no effect or no difference, which in this context means assuming that 40 percent or more of the residents are protected by earthquake insurance (p ≥ .40). The alternative hypothesis (Ha) is what you are trying to prove, which is that less than 40 percent of the residents are protected (p < .40).

Set Up the Appropriate Hypotheses to Test the Claim That