Question

# Each question below has multiple correct answers, and you must select all correct answers and no...

Each question below has multiple correct answers, and you must select all correct answers and no incorrect answers for full credit. You have 5 attempts per question.

a. Suppose we are testing H0: μ1 - μ2 = 0, and we commit a Type II error. Which of the following statements are true, assuming we use α = 0.05? Select all that apply.

We reject H0We FTR H0The p-value is greater than 0.05The p-value is less than 0.05μ1 = μ2μ1 ≠ μ2The difference in sample means is statistically significantThe difference in sample means is not statistically significant

b. Suppose we are planning to test H0: μ1 - μ2 = 0, and in truth μ1 = μ2. Which of the following statements are true, assuming we have not yet collected the data and we plan to use α = 0.05? Select all that apply.

H0 is trueH0 is falseThere is a 95% chance that the 95% CI for μ1 - μ2 will contain zeroThere is a 5% chance that the 95% CI for μ1 - μ2 will contain zeroThere is a 95% chance that the p-value will be less than 0.05There is a 5% chance that the p-value will be less than 0.05If we reject H0, we will be committing a Type I errorIf we FTR H0, we will be committing a Type II error

c. Suppose we are testing H0: μ1 - μ2 = 0, and we get a test statistic of t = -1.19. Which of the following statements are true, given this result and assuming we use α = 0.05? Select all that apply

The p-value is greater than 0.05The p-value is less than 0.05The difference in sample means is statistically significantThe difference in sample means is not statistically significantWe reject H0We FTR H0The corresponding 95% CI should contain zeroThe corresponding 95% CI should not contain zeroIt is possible we have committed a Type I errorIt is possible we have committed a Type II error