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Question: A random sample of size 100 is to be taken from a population that has a proportion equal to 0.35. The sample proportion will be used to estimate the population proportion.

a. Calculate the probability that the sample proportion will be within + 0.05 of the population proportion.

b. Calculate the probability that the sample proportion will be within + 1 standard error of the population proportion.

c. Calculate the probability that the sample proportion will be within + 0.10 of the population proportion.

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