Question

For the hypothesis Ho: mu=5 and Ha: mu≠5, 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

We are given here that the p-value is 0.03 < 0.05 which is the level of significance. Therefore the test is significant and we can reject the null hypothesis here.

Type 1 error is the probability of rejecting the null hypothesis given it is True while Type 2 error is the probability of retaining a false null hypothesis. As we are rejecting the null hypothesis here, therefore type 2 error cannot happen here only type 1 error could occur.

Therefore Type 1 error is the correct answer here.