Which of the following represents an appropriate set of hypotheses? A) H₀: = 0, H_A: ≠ 0 B) H₀: 0 C) H₀: μ 0 D) H₀: μ = 0, H_A: μ ≠ 0

Question

Which of the following represents an appropriate set of hypotheses? A) H₀: = 0, H_A: ≠ 0 B) H₀: < 0, H_A: > 0 C) H₀: μ < 0, H_A: μ > 0 D) H₀: μ = 0, H_A: μ ≠ 0

Quizplus · Accepted Answer

These are appropriate hypotheses for a null hypothesis significance test where we are testing whether a population mean (μ) is equal to zero. H₀ represents the null hypothesis, and H_A represents the alternative hypothesis. The use of "μ" indicates that we are comparing means, and the equality/inequality statements indicate the direction of the test. Thus, D is the best choice.

Which of the Following Represents an Appropriate Set of Hypotheses