The parent population parameter:
π = 0.60
A sample of size n = 500 is selected.
What is the probability that the sample proportion is
less than 0.58?
What proportion or percentage of p values obtained from samples of size n = 500 is
̄
less than 0.58?
n = 500
0.58
P(p < 0.58)
̄
0.6
0.0219
z = (0.58  0.6)
⁄ 0.0219 = 0.91
P(z < 0.91) =
0.1814
The parent population parameter:
π = 0.60
A sample of size n = 500 is selected.
What is the probability that the sample proportion is
greater than 0.63?
What proportion or percentage of p values obtained from samples of size n = 500 is
̄
greater than 0.63?
n = 500
0.63
0.6
0.0219
P(p > 0.63)
̄
z = (0.63  0.6)
⁄ 0.0219 = 1.37
P(z > 1.37) =
0.0853
The parent population parameter:
π = 0.60
A sample of size n = 500 is selected.
What is the probability that the sample proportion is
between 0.567 and 0.633?
What proportion or percentage of p values obtained from samples of size n = 500 is
̄
between 0.567 and 0.633?
n = 500
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 Fall '10
 ToFu
 π, parent population parameter, 0.043 4.3%

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