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A population proportion is 0.3. A sample of size 300 will be taken and the sample...

A population proportion is 0.3. A sample of size 300 will be taken and the sample proportion p will be used to estimate the population proportion.

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?

b.  What is the probability that the sample proportion will be within ±0.05 of the population proportion?

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