In: Statistics and Probability
In the EAI sampling problem, the population mean is $51,800 and the population standard deviation is $4,000. When the sample size is n = 20, there is a 0.4238 probability of obtaining a sample mean within +/- $500 of the population mean. Use z-table.
A population proportion is 0.4. A sample of size 300 will be taken and the sample proportion will be used to estimate the population proportion. Use z-table.
Round your answers to four decimal places.
a. What is the probability that the sample proportion will be within ±0.02 of the population proportion?
b. What is the probability that the sample proportion will be within ±0.08 of the population proportion?