Stats hypothesis questions - can you check my work?

Question

As you increase the number of subjects in your sample, the calculated value of a t-test will

a.) decrease

b.) increase

c.) remain the same

I said C.

As you decrease the true distance between the null and alternative hypotheses, the likelihood of rejecting the null hypothesis

a.) decreases

b.) increases

c.) remains the same

I said B.

Keeping everything else the same, if you were to decrease your alpha level from .05 to .01, the likelihood of rejecting the null hypothesis

a.) decreases

b.) increases

c.) remains the same

I said A.

Answer 1

As you increase the number of subjects in your sample, the calculated value of a t-test will

b.) increase

*This is because as "n" increases, the denominator of the t-test decreases, increasing the value of T(observed).

As you decrease the true distance between the null and alternative hypotheses, the likelihood of rejecting the null hypothesis

b.) increases

*As H(0) and H(A) gets closer, it becomes more difficult to distinguish them apart so it's more likely to reject H(0).

Keeping everything else the same, if you were to decrease your alpha level from .05 to .01, the likelihood of rejecting the null hypothesis

a.) decreases

*alpha = likelihood of rejecting null when it is true. If it's smaller, then the likelihood of rejecting the null on the whole is also smaller.