Question

A significance test about a proportion is conducted using a significance level of 0.025. The test statistic equals 1.33. The​ P-value is 0.10. a. If Upper H 0 were​ true, for what probability of a Type I error was the test​ designed? b. If this test resulted in a decision​ error, what type of error was​ it?

a. If Upper H 0 were​ true, for what probability of a Type I error was the test​ designed?

b. If this test resulted in a decision​ error, what type of error was​ it? Type II Type Upper I

Answer 1

Given that the level of significance is 0.025 . Whic is the probability of allowed type I error .

a. If Ho is true then the test is designed for probability of type I error of 0.025 .

b. Here the p Value is 0.10 . Which is more than the level of significance 0.025 . So this indicates that the Ho is true in this test . So we should not Reject Ho here .

But there is a decision error if we Reject the Null hypothesis Ho .

So we are Rejecting Ho when it is actually True. This is a Type I error .