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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
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? 5%, because the probability of making a Type I error is equal to the significance level. 10.1%, because this is the test statistic. 2.5%, because a chi-squared test is a one-tailed, rather than two-tailed, test 95%, because the probability of making a Type I error is equal to 1 - significance level. 3.9%, because this is the -value of the test
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