Question

if you repeated a hypothesis test 1,900 times (in other words, 1,900 different samples from the same population), how many times would you expect to commit a type i error, assuming the null hypothesis were true, if

Answer 1

Answer: Assuming a significance level of 0.05 for each hypothesis test, the probability of committing a Type I error (rejecting the null hypothesis when it is actually true) in any given test is 0.05.

Therefore, the expected number of Type I errors in 1,900 hypothesis tests is:

Expected number of Type I errors = (0.05) x (1,900) = 95

So, we would expect to commit a Type I error about 95 times in 1,900 hypothesis tests, assuming the null hypothesis were true.

Explanation: