You may need to use the appropriate appendix table or technology to answer this question. A population proportion is 0.60. A sample of size 100 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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