Question

A population proportion is 0.3. A sample of size 100 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 ±0.04 of the population proportion?

b. What is the probability that the sample proportion will be within ±0.08 of the population proportion?

Answer 1

Given that, population proportion = p = 0.3

sample size = n = 100

a) We want to find,

Therefore, required probability is 0.6156

b) We want to find,

Therefore, required probability is 0.9198