Question

Suppose you are performing a hypothesis to see if the mean number of items sold in your store on Sunday is less than 25. You set up the test, gather good valid data, and perform the test. Your data lead you to conclude there IS sufficient evidence the number of items sold on a Sunday is less than 25 at the alpha level of LaTeX: \alpha=.05 α=.05. Which of the following is true:______

a. none of the above are true
b. The Power of the test is 95%
c. There is a 95% chance of committing a Type I error
d. You have a 5% chance of committing a Type II error
e. You may have committed a Type I error

Answer 1

You may have committed a Type I error

Explanation:

• Null Hypothesis [H0] = Mean sunday sold items = 25
• Alternate Hypothesis [H1] = Mean sunday sold items < 25

Hypothesis testing states that 'there is sufficient evidence to prove no. of items sold on sunday < 25'. The statement imply that alternate hypothesis is rejected & null hypothesis is rejected.

Type 1 Error is the error of rejecting an actually true null hypothesis. The error might have been occurred, as true null hypothesis might be rejected as per statistical test.