multiple choice

a. Suppose we are testing H₀:= 10, and we commit a Type II error. Which of the following statements are true, assuming we use= 0.05? Select all that apply.

(1)We reject H₀

(2)We FTR H₀

(3)The p-value is greater than 0.05

(4)The p-value is less than 0.05

b. Suppose we are planning to test H0: ,u = 4, and in truth ,u = 4. Which of the following statements are true, assuming we have not yet collected the data and we plan to use a = 0.05? Select all that apply. (7 H0 is true (1 H0 is false (7 There is a 95% chance that the 95% CI forp will contain zero (1 There is a 5% chance that the 95% CI for ,u will contain zero (7 There is a 95% chance that the p-value will be less than 0.05 (7 There is a 5% chance that the p-value will be less than 0.05 m If we reject H0, we will be committing a Type I error (1 If we FTR Ho, we will be committing a Type 11 error c. Suppose we are testing H0: p = 0, and we get a test statistic of t = -1.43. Which of the following statements are true, given this result and assuming we use a = 0.05? Select all that apply (7 The p-value is greater than 0.05 m The p-value is less than 0.05 m We reject Ho (1 We FTR H0 (7 The corresponding 95% CI contains zero (7 The corresponding 95% CI doesn't contain zero (7 It is possible we have committed a Type I error (7 It is possible we have committed a Type II error