Question

For a hypothesis test of H0:p1 − p2 = 0 against the alternative Ha:p1 − p2 ≠ 0, the test statistic is found to be 2.2. Which of the following statements can you make about this finding?

a. The result is significant at both α = 0.05 and α = 0.01.

b. The result is significant at α = 0.05 but not at α = 0.01.

c. The result is significant at α = 0.01 but not at α = 0.05.

d. The result is not significant at either α = 0.05 or α = 0.01.

e. The result is inconclusive because we don't know the value of p.

Answer 1

Solution:
As given that test stat = 2.2 and this is a two tailed test so p-value is 0.00695
As alpha value is 0.05 and 0.01 here we can reject the null hypothesis as p-value is less than 0.01 and 0.05
so we can say that the result is significant at both alpha =0.05 and alpha=0.01
SO its answer is A.