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Suppose 47% of the population has a college degree. If a random sample of size 460...

Suppose 47% of the population has a college degree. If a random sample of size 460 is selected, what is the probability that the proportion of persons with a college degree will differ from the population proportion by less than 4%? Round your answer to four decimal places.

math   Statistics-And-Probability   
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Answer #1

Let P and denote ve spe chivehy popul ahiovn pov Pon H on of persons wirh a eallege degree the prruporhion and sample e know H、ar, when me sample size nis su fficientty Large, then by cenheal Cmit rheovem, we have n a yn Griven that, P0.47460 As460 which is sufficientty Lane So we have p N047, 0 47 (1 047 460 460 -P( 0 04 P - 0 47 0 04)-0, 04 P -0.47 0 0 4 2 0 249 460 0 249 46 0 0 249) 460 0.04 x 460 0 249 0 24 职 Leh 47 then ZAN O,1) 0 249 V 460 rZ :7189 pZs 7189 7189 -1.7183 [ 3) ( 군丿 is the edf of shand and normal di shmibuhion Ф(1.7189)_ {l_ Φ(1.7189彦 2x Ф(1.7189)-1 2 x 0 9572 - 0 9(44.

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