In: Statistics and Probability
Based on past data, it is known that about 8.96% of people who
go to the...
- Based on past data, it is known that about 8.96% of people who
go to the doctor end up testing positive for influenza. Suppose we
take a sample of 100 doctor visits and find that 9.17% of people
test positive for influenza. We want to see if there is evidence
that the percentage of people who have influenza is
increasing.
- If I wanted to control my margin of error and set it to 3% with
99% confidence, what sample size would I need to take instead of
the 100?\
- Using my original sample size of 100, what would be the 99%
confidence interval for the population proportion?
- What are the null and alternative hypotheses?
- What is the critical value at 99% confidence?
- Calculate the test statistic (using the sample of 100).
- Find the p-value.