Collect 50 or more qualitative data items.Then, construct a 90% confidence interval for the population proportion, p.
Examples of qualitative data are hair color, human blood type, gender, nationality, and hurricane category.
Then, answer the following:
- Write down your sample size.
- From your data, what is the point estimate, p^ of the population proportion?
- Write down the confidence interval that you obtained. Interpret the result.
- What is the margin of error?
Using the same data, construct a 98% confidence interval for the population proportion. Then, answer the following three questions:
- What happens to the length of the interval as the confidence level is increased?
- How has the margin of error changed?
- If the sample size is increased, what do you think will happen to the margin of error? Why?