Hint(s) Check My Work A population proportion is 0.40. A random sample of size 100 will be taken and the sample proportion will be used to estimate the population proportion. Use the z-table. Round your answers to four decimal places. a. What is the probability that the sample proportion will be within +0.03 of the population proportion? 0.6123 b. What is the probability that the sample proportion will be within 0.08 of the population proportion?