Certified Six Sigma Black Belt Exam Certified Six Sigma Black Belt Hypothesis Testing Questions and Answers 2

Question 1

In hypothesis testing, what does a Type II error represent?

Accepted Answer

Failing to reject a false null hypothesis

Answer

A Type II error (beta error) occurs when the test fails to reject a null hypothesis that is actually false.

Question 2

A Black Belt sets alpha at 0.05 and obtains a p-value of 0.03. What is the correct conclusion?

Accepted Answer

Reject the null hypothesis

Answer

Since the p-value (0.03) is less than alpha (0.05), there is sufficient evidence to reject the null hypothesis.

Question 3

Which hypothesis test is most appropriate for comparing the means of three or more independent groups?

Accepted Answer

One-way ANOVA

Answer

One-way ANOVA is designed to test whether there are statistically significant differences among the means of three or more independent groups.

Question 4

What is the primary purpose of calculating statistical power in a hypothesis test?

Accepted Answer

To determine the sample size needed

Answer

Statistical power analysis is primarily used to determine the minimum sample size required to detect a meaningful effect at a given significance level.

Question 5

When conducting a two-proportion test, which assumption must be satisfied?

Accepted Answer

The expected number of successes and failures in each sample should be at least five

Answer

The two-proportion z-test requires that np and n(1-p) are each at least five in both samples to ensure the normal approximation is valid.

Certified Six Sigma Black Belt Exam Practice Test

Certified Six Sigma Black Belt Exam Practice Test

Certified Six Sigma Black Belt Exam Certified Six Sigma Black Belt Hypothesis Testing Questions and Answers 2