The population proportion is 0.38. 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? O As sample size increases, E(P) approaches p. There is a higher probability p will be within ±0.04 of the population proportion p. We can guarantee p will be within +0.04 of the population proportion p. There is a higher probability o- will be within +0.04 of the population standard deviation.

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The population proportion is 0.38. 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.)
(а) п %3D 100
(b) n = 200
(c) n = 500
(d) n =
1,000
(e) What is the advantage of a larger sample size?
As sample size increases, E(p) approaches p.
There is a higher probability p will be within +0.04 of the population proportion p.
We can guarantee p will be within ±0.04 of the population proportion p.
There is a higher probability 0- will be within +0.04 of the population standard deviation.
Transcribed Image Text:The population proportion is 0.38. 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.) (а) п %3D 100 (b) n = 200 (c) n = 500 (d) n = 1,000 (e) What is the advantage of a larger sample size? As sample size increases, E(p) approaches p. There is a higher probability p will be within +0.04 of the population proportion p. We can guarantee p will be within ±0.04 of the population proportion p. There is a higher probability 0- will be within +0.04 of the population standard deviation.
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Step 1

Given that p =0.38

Sample proportion within  ± 0.04

Find the probabilities for

( a ) n =100

( b ) n =200

( c ) n =500

( d ) n =1000

( e ) select the correct choice

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