A population proportion is 0.3. 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 ±0.07 of the population proportion?
Given that, population proportion (p) = 0.3
sample size (n) = 300
a) We want to find,
Therefore, required probability is 0.5528
b) We want to find,
Therefore, required probability is 0.9996
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