Suppose a simple random sample of sizen-1000 is obaned from a populsation whose

Question

Suppose a simple random sample of sizen-1000 is obaned from a populsation whose size is N-1,000,000 and wheeve population proportion with a specied charucterse s p-051 Comphein prts ) fmaugh (c) bow la) Descrbe the sampling diestribution of p OR Approx mately rotnal.-0.flades0006 th) What is the probublity of obtaining x -530 mane ndviduls with the characterisc? Px 530)-Rourd to fou decimal places nes reeded) lc) What is the probability of abtaningx 480 or tower indiwidunls with ha P(x suo,- pond to tour decimasl places as noid I characteric? Click to solect your answerla)

Explanation / Answer

p = 0.51
n = 1000

a)
std.dev. = sqrt(pq/n) = sqrt(0.51*0.49/1000) = 0.01581

Option C

b)
P(x>= 530) = P(z >= (530 - 510)/15.8082) = P(z >= 1.2652) = 0.1029

c)
P(x <= 480) = P(z <= (480 - 510)/15.8082) = P(z >= -1.8977) = 0.0289

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