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The population proportion is 0.40. What is the probability that a sample proportion will be within...

The population proportion is 0.40. What is the probability that a sample proportion will be within ±0.04 of the population proportion for each of the following sample sizes? (Round your answers to 4 decimal places.)

(a) n = 100

(b) n = 200

(c) n = 500

(d) n = 1,000

(e) What is the advantage of a larger sample size?

We can guarantee p will be within ±0.04 of the population proportion p.

There is a higher probability σp will be within ±0.04 of the population standard deviation.

As sample size increases, E(p) approaches p.

There is a higher probability p will be within ±0.04 of the population proportion p.

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