A sample of 400 observations will be taken from a process (an
infinite population). The population proportion equals 0.8. The
probability that the sample proportion will be greater than 0.83 is
_____.
Solution
Given that,
= [p( 1 - p ) / n] = [(0.8 * 0.2) / 400 ] = 0.02
P( > 0.83) = 1 - P( < 0.83)
= 1 - P(( - ) / < (0.83 - 0.8) / 0.02)
= 1 - P(z < 1.5)
= 1 - 0.9332
= 0.0668
Probability = 0.0668
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