At one school, the average amount of time tenth-graders spend watching television each week is 21.6 hours. The principal introduces a campaign to encourage the students to watch less television. One year later, the principal performs a significance test using α= 0.05 to determine whether the average amount of time spent watching television per week has decreased. The hypotheses are:
H0: µ = 21.6 hours
Ha: µ < 21.6 hours

If the P-value 0.04 and a decision error is made, what type of error is it? Explain.

a) Type II error. We conclude that the average amount of time spent watching television each week is 21.6 hours when it is in fact less.
b) Type I error. We conclude that the average amount of time spent watching television each week is 21.6 hours when it is in fact less.
c) Type II error. We conclude that the average amount of time spent watching television each week is less than 21.6 hours when it is in fact not.
d) Type I error. We conclude that the average amount of time spent watching television each week is less than 21.6 hours when it is in fact not.