Suppose a simple random sample of size n = 100 households is obtained from a town with 5000 households. It is known that 30% of the households plant a garden in the spring.
- Describe the sampling distribution of p^.
- What is the probability that more than 37 households in the sample plant a garden? Is this result unusual?
- What is the probability that 18 or fewer households in the sample plant a garden? Is this result unusual?