# AP Statistics : How to find sampling distribution of a sample proportion

## Example Questions

### Example Question #1 : Sampling Distributions

A researcher wants to determine whether there is a significant linear relationship between time spent meditating and time spent studying. What is the appropriate null hypothesis for this study?

Explanation:

This question is about a linear regression between time spent meditating and time spent studying. Therefore, the hypothesis is regarding Beta1, the slope of the line. We are testing a non-directional or bi-directional claim that the relationship is significant. Therefore, the null hypothesis is that the relationship is not significant, meaning the slope of the line is equal to zero.

Explanation:

Explanation:

### Example Question #101 : Statistical Patterns And Random Phenomena

The president of a country is trying to estimate the average income of his citizens. He randomly samples residents and collects information about their salaries. A  percent confidence interval computed from this data for the mean income per citizen is  Which of the following provides the best interpretation of this confidence interval?

If he was to take another sample of the same size and compute a  percent confidence interval, we would have a  percent chance of getting the interval

There is a   percent probability that the mean income per citizen in the school is between  and

There is a  percent probability that all the citizens of the country have an income  between  and

There is a  percent probability that the mean of another sample with the same size will fall between  and

percent of the citizens of the country have an income that is between  and