1c. Suppose we are testing H0: 1 - 2 = 0, and we get a test statistic of t = -1.
ID: 2929267 • Letter: 1
Question
1c. Suppose we are testing H0: 1 - 2 = 0, and we get a test statistic of t = -1.3. Which of the following statements are true, given this result and assuming we use = 0.05? Select all that apply
a. The p-value is greater than 0.05
b. The p-value is less than 0.05
c. The difference in sample means is statistically significant
d. The difference in sample means is not statistically significant
e. We reject H0
f. We FTR H0
g. The corresponding 95% CI should contain zero
h. The corresponding 95% CI should not contain zero i. It is possible we have committed a Type I error
j. It is possible we have committed a Type II error
Explanation / Answer
Solution:-
t = - 1.3
a) The p-value is greater than 0.05
d) The difference in sample means is not statistically significant.
f) We FTR H0.
g) The corresponding 95% CI should contain zero.
j) It is possible we have committed a Type II error.
Type II error is incorrectly retaining a false null hypothesis.
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