Twenty percent of all adult males did not visit their physicians’ offices last year. The probability that more than 18% of adult males in a sample of 800 did not visit their physicians’ offices last year is approximately:
Group of answer choices
0.9236
0.4236
0.1378
0.0764
Solution
Given that,
p = 0.20
1 - p = 1-0.20=0.80
n = 800
= p =0.20
= [p( 1 - p ) / n] = [(0.20*0.80) / 800 ] = 0.01414
P( >0.18 ) = 1 - P( <0.18 )
= 1 - P(( - ) / < (0.18-0.20) / 0.01414)
= 1 - P(z <-1.4286 )
Using z table
= 1 -0.0764
=0.9236
probability=0.9236
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