Ask Question
19 April, 15:26

Suppose we are testing the hypotheses H0 : μ = 100 and Ha: μ < 100. Which sample mean will have the smaller p-value, x = 90 or x = 85? Select all that apply. x = 85 will have a smaller p-value because it is further from μ0 = 100. x = 90 will have a smaller p-value because it is closer to μ0 = 100. x = 85 will have a smaller p-value because it provides more support for HA. x = 90 will have a smaller p-value because it provides more support for HA.

+2
Answers (1)
  1. 19 April, 18:45
    0
    Option C: x = 85 will have a smaller p-value because it provides more support for HA

    Step-by-step explanation:

    Looking at all the options, the only one that is correct is option C because from the area under the normal distribution curve, the left tail of x-bar = 85 has a smaller value then the left-tail of x-bar = 90 and thus it supports the hypothesis Ha: μ < 100. The other options don't support either of the hypothesis. Thus,

    We can say then that x = 85 will have a smaller p-value because it provides more support for HA
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Suppose we are testing the hypotheses H0 : μ = 100 and Ha: μ < 100. Which sample mean will have the smaller p-value, x = 90 or x = 85? ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers