STAT HW5

The level of significance refers to the probability of making a Type II error.

False

When your sample size increases, the chance of both Type I and Type II error will increase.

False

For a test of a mean, which of the following is incorrect?

H0 is rejected when the calculated p-value is less than the critical value of the test statistic.

A simultaneous reduction in both α and β will require a larger sample size.

True

When the probability of a Type I error increases, the probability of a Type II error must decrease, ceteris paribus.

True

Which of the following statements is correct?

Increasing α will make it more likely that we will reject H0, ceteris paribus.

A null hypothesis is rejected when the calculated p-value is less than the critical value of the test statistic.

false

A Type I error can only occur if you reject H0.

true

A smaller probability of Type II error implies higher power of the test.

true

A two-tailed hypothesis test for H0: μ = 15 at α = .10 is analogous to asking if a 90 percent confidence interval for μ contains 15.

true

For a given sample size and α level, the Student's t value always exceeds the z value.

true

If the null and alternative hypotheses are H0: μ ≤ 100 and H1: μ > 100, the test is right-tailed.

true

The level of significance refers to the probability of making a Type I error.

true

The probability of rejecting a true null hypothesis is the significance level of the test.

true