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A population proportion is 3 A sample of size 100 will be taken and the sample proportion P will be used to estimate the population proportion

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A population proportion is 3 A sample of size 100 will be taken and the sample proportion P will be used to estimate the population proportion. Use z-table. Round your answers to four decimal places. Do not round intermediate calculations.

a. What is the probability that the sample proportion will be within +/- 0.04 of the population proportion?

b. What is the probality that the sample proprotion will be within +/- 0.05 of the population proportion?