# Statistics level of significance

1. Jan 2, 2014

### tedpark1212

I need help with these statistics problems. Can anyone guide me through them? I would greatly appreciate it. I am completely lost on where to start.

1. Suppose you want to show the significance of an effect size of 0.20 between your sample mean and a hypothesized mean. You intend to conduct a two-sided one-sample t-test. The sample variance is σ2 = 1.0. You assume that the population is large, or effectively infinite. If you want the test to have a power of 0.80, what is the required sample size for the following?

So for here I would use standard normal distribution, correct?

• A level of significance of α = 0.05

• A level of significance of α = 0.01

2. After some research, you determine that the size of the population is N = 350. If you want the test to have a power of 0.80, what is the required sample size for the following?

For question 2 I would use binominal distribution? I'm really confused on how to work the equations.

• A level of significance of α = 0.05

• A level of significance of α = 0.01

3. Comment on the sample sizes required for questions 3 and 4. Explain the differences and similarities.

2. Jan 2, 2014

### Ray Vickson

PF rules require you to show some effort. What have you done on this so far?

3. Jan 2, 2014

### tedpark1212

I have yet only established an idea of only which approach to use, but I am unable to implement it in my work.