Ask Question
29 July, 12:46

ou conduct a hypothesis test and you observe values for the sample mean and sample standard deviation when n = 25 that do not lead to the rejection of H0. You calculate a p-value of 0.0667. What is the highest possible significance level you can have?

+5
Answers (1)
  1. 29 July, 14:55
    0
    The higher significance level is 0.0666, as it has to be lower than the p-value.

    Significance level is usually expressed up to 2 decimals, so the maximum level of significance is expected to be α=0.06.

    Step-by-step explanation:

    We have a hypothesis test for the mean.

    The result is that the null hypotesis failed to be rejected.

    The P-value is 0.0667.

    We have to find the highest possible signficance level.

    First, we have to see the decision rule for the p-value method:

    If the P-value is lower than the significance level, the null hypothesis is rejected. If the P-value is higher than the significance level, the null hypothesis failed to be rejected.

    In our question, we are in the second situation, so we can conclude that the P-value is higher than the significance level.

    Then, the higher significance level is 0.0666, as it has to be lower than the p-value.

    Significance level is usually expressed up to 2 decimals, so the maximum level of significance is expected to be α=0.06.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “ou conduct a hypothesis test and you observe values for the sample mean and sample standard deviation when n = 25 that do not lead to the ...” 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