1 Increase Decrease Stays the same Not enough info a As zobt

1. Increase, Decrease, Stays the same, Not enough info

a. As |zobt| increases, what happens to the p value?
b. As |zobt| increases, what happens to alpha?
c. As power increases, what happens to the probability of correctly rejecting the null hypothesis?
d. As N increases, what happens to |zcrit|?
e. As the number of tails increases from one to two, what happens to |zcrit|?
f. As degrees of freedom decrease, what happens to |tcrit|?
g. As degrees of freedom increase and alpha increases in value, what happens to |tcrit|?
h. As the difference between means decreases and the sample standard deviation increases, what happens to |tobt|?
i. As degrees of freedom decrease in a single sample t test, what happens to power?
j. As |tobt| increases, what happens to |tcrit|?
k. As |tobt| increases, what happens to the likelihood of rejecting H0?

Solution

a) DECREASES. The zobt is more extreme, hence is more rare.

b) STAYS THE SAME. You simply choose what alpha is.

c) STAYS THE SAME. This is dependent on alpha (significance level) alone.

d) STAYS THE SAME. zcrit does not depend on sample size.

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