Solution
Given that,
p = 0.04
1 - p = 1 - 0.04 = 0.96
n = 238
= p = 0.04
= [p ( 1 - p ) / n] = [(0.04 * 0.96) / 238 ] = 0.0127
± 0.03
=P ( 0.01 < < 0.07)
= P[(0.01 - 0.04) / 0.0127 < ( - ) / < (0.07 - 0.04) / 0.0127 ]
= P(-2.36 < z < 2.36)
= P(z < 2.36) - P(z < -2.36)
Using z table,
= 0.9909 - 0.0091
= 0.9818
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