Which of the following illustrates the correct expression of the null hypothesis for the alternate hypothesis that more than 40% of Internet users shop online? A) H₀: π ≤ .40 B) H_A: π .40 C) H₀: π = .40 D) H_A: π ≠ .40 E) H₀: µ = .40

Question

Which of the following illustrates the correct expression of the null hypothesis for the alternate hypothesis that more than 40% of Internet users shop online? A) H₀: π ≤ .40 B) H_A: π > .40 C) H₀: π = .40 D) H_A: π ≠ .40 E) H₀: µ = .40

Quizplus · Accepted Answer

The null hypothesis is a statement of no effect or no difference, and it is the hypothesis that researchers aim to test against. For an alternate hypothesis that suggests more than 40% of Internet users shop online (π > .40), the correct null hypothesis would be that the proportion is not greater than 40%, which is expressed as π ≤ .40. This is because the null hypothesis should contradict the alternate hypothesis, setting up a scenario where if the null is rejected, the alternate can be considered.

Which of the Following Illustrates the Correct Expression of the Null