Aidan, a statistics student, wonders if his calculator’s RandInt function is truly random. To test this, he uses RandInt to generate 100 digits from 1 to 5 and stores them in a list. The results are given in the table.
1: Frequency 13
2:Frequency 12
3:Frequency 24
4: Frequency 23
5: Frequency 28

Aidan will carry out a chi-square goodness of fit test at the =0.05 significance level to determine if each number has an equal chance to be generated.
Assuming that a student’s calculator is working properly, what is the probability that Aidan will make a Type I error?
A) 5%, because the probability of making a Type I error is equal to the significance level.
B) 10.1%, because this is the test statistic.
C) 2.5%, because a chi-squared test is a one-tailed, rather than two-tailed, test
D) 95%, because the probability of making a Type I error is equal to 1 - significance level.
E) 3.9%, because this is the -value of the test.