Question

1.Type 1 error is...

a.Correctly rejecting the null hypothesis.

b.Rejecting the null hypothesis when it’s actually true.

c.Correctly failing to reject the null hypothesis.

d.Failing to reject the null hypothesis when it’s actually false.

2.Power is defined as the probability of...

a.Correctly rejecting the null hypothesis.

b.Correctly failing to reject the null hypothesis.

c.Failing to reject the null hypothesis when it’s actually false.

d.Rejecting the null hypothesis when it’s actually true.

3. From Study Example 1: Based on the sample, researchers decide to reject the null hypothesis, determining that high school students are sleep deprived. However, additional studies come to the opposite conclusion, finding no evidence of sleep deprivation in high school students.

This is an example of...

a.power.

b.type II error.

c.type I error.

Answer 1

Q1) Type I error happens when we reject a True null hypothesis. Therefore Rejecting the null hypothesis when its actually True is the correct answer here. Note that is is also called the level of significance for the test.

Q2) The Power of test is defined as the complement of the type II error. Power is defined as the probability of correctly rejecting a False null hypothesis. Therefore a is the correct answer here.

Q3) As we are rejecting the null hypothesis and concluding that the high schools students are sleep deprived. Although there is no evidence of sleep deprivation in high school students in reality, therwfore we are rejecting a true null hypothesis here. Therefore Type I error is the required answer here.