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A population proportion is 0.3. A random sample size of 150 will be taken and the...

A population proportion is 0.3. A random sample size of 150 will be taken and the sample proportion p will be used to estimate the population proportion. Round to 4 decimals. Please show work.

A) What is the probability that the sample proportion will be within ± 0.3 of the population proportion?
B) What is the probability that the sample proportion will be within ± 0.5 of the population proportion?

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