Question

For the hypothesis H0: mu=12 and Ha: mu≠12, if the p-value=0.03 and alpha=0.05, which, if any, type of error could be made?

a) Type 2 error
b) Type 1 error
c) Both a Type 1 and 2 error
d) Because the p-value is lower than alpha, no error could be made

Answer 1

The type of error that could be made in this hypothesis test is a Type 1 error.

Step-by-step explanation:

In this question, we are testing a hypothesis with the null hypothesis H0: mu=12 and the alternative hypothesis Ha: mu≠12. The p-value is given as 0.03 and the significance level (alpha) is 0.05.

Based on the p-value and alpha values, we can see that the p-value is smaller than the alpha, which means we can reject the null hypothesis.

The correct answer is b) Type 1 error as rejecting the null hypothesis when it is actually true would be a Type 1 error.