Question

In each pair, circle or highlight the one that, will give you more statistical power.

1.n = 50 or n=500

2.α = .01 or α=.05

3.α = .001 or α=.01

Answer 1

Solution-

1.n = 50 or n=500

In this case n = 500 gives more statistical power.

because-

Increasing sample size makes the hypothesis test more sensitive - more likely to reject the null hypothesis when it is, in fact, false. Thus, it increases the power of the test.

2.α = .01 or α=.05

In this case a = 0.05 gives more statistical power.

3.α = .001 or α=.01

In this case a = 0.01 gives more statistical power.

Increase the power of a hypothesis test

1. Use a larger sample.
2. Improve your process.
3. Use a higher significance level (also called alpha or α).
4. Choose a larger value for Differences.
5. Use a directional hypothesis (also called one-tailed hypothesis).