Hypothesis test

H0=6

H1 not equal 6

n=23

sample mean= 6.05957

s=1.279159803

standard error 0.266723257

level of significance=0.05

test statistic=0.22332

p-value=0.82535 (> level of significance)

Conclusion: Do not reject H0.

*If we conclude that we failed to reject H0, there's possibilities of type II error occurs instead of type I error, am I right?

QUESTION

Calculate the approximate probability of rejecting the null hypothesis if the true mean return were equal to

(a) 6%, (my answer=0, because I have concluded that DO NOT REJECT H0, so should be type II error, not type I error?)

(b) 6.5%. (?)

How do these probabilities relate to the probabilities of the Type I and Type II errors of the test?