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) HA: π .40
C) H0: π = .40
D) HA: 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) HA: π> .40
C) H0: π = .40
D) HA: π≠ .40
E) H0: µ = .40

Quizplus · Accepted Answer

The null hypothesis should always express no difference or no effect. In this case, the null hypothesis would be that the proportion of Internet users who shop online is less than or equal to 40%. Therefore, option A correctly expresses the null hypothesis as H0: π≤ .40. Option C expresses a specific value for the null hypothesis, but it does not consider the possibility of the proportion being greater than 40%. Option B is the alternate hypothesis, which states the research interest that the proportion is greater than 40%. Option D expresses a two-tailed alternate hypothesis, meaning that the research interest includes both greater and lesser proportions. Option E expresses a null hypothesis of a mean, which is not relevant to the research question regarding proportions.

Which of the Following Illustrates the Correct Expression of the Null