AP Statistics Chapter 9: Hypothesis Testing Practice

Which type of error occurs if we reject a true null hypothesis?

• Type I Error

• Type II Error

• Sampling Error

• Non-sampling Error

What is the p-value in hypothesis testing?

• The probability of observing the test statistic or something more extreme, given that the null hypothesis is true.

• The level of significance.

• The probability of the null hypothesis being true.

• The probability of making a Type I error.

If a test of hypothesis has a significance level of 0.05, which p-value would lead to the rejection of the null hypothesis?

• 0.07

• 0.05

• 0.03

• 0.10

In a left-tailed test, the test statistic is -2.5 and the critical value is -1.96. What is the correct decision regarding the null hypothesis?

• Fail to reject the null hypothesis.

• Reject the null hypothesis.

• Accept the null hypothesis.

• There is not enough information to make a decision.

Which of the following best describes the power of a test?

• The probability of correctly failing to reject the null hypothesis.

• The probability of correctly rejecting the null hypothesis when it is false.

• The probability of making a Type I error.

• The probability of making a Type II error.

A significance level of 0.01 in a hypothesis test indicates which of the following?

• A 1% risk of committing a Type I error.

• A 1% risk of committing a Type II error.

• A 99% confidence level.

• A 1% probability that the null hypothesis is true.

In hypothesis testing, if the alternative hypothesis states that the parameter is not equal to the hypothesized value, what kind of test is being conducted?

• One-tailed test

• Two-tailed test

• Z-test

• T-test

What does it mean if a hypothesis test results in a p-value of 0.02 when testing at a 5% significance level?

• There is a 2% probability that the null hypothesis is true.

• There is a 2% probability that the null hypothesis is false.

• There is sufficient evidence to reject the null hypothesis.

• There is not enough evidence to reject the null hypothesis.

Which of the following is true about the relationship between the significance level (alpha) and the probability of making a Type I error?

• They are inversely related.

• They are directly related.

• There is no relationship.

• The relationship depends on the sample size.