Solution :
Given that,
Point estimate = sample proportion = = x / n = 106 / 160 = 0.663
1 - = 1 - 0.663 = 0.337
Z/2 = Z_{0.05} = 1.645
Margin of error = E = Z_{ / 2} * (( * (1 - )) / n)
= 1.645 (((0.663 * 0.337) / 160)
= 0.061
A 90% confidence interval for population proportion p is ,
± E
= 0.663 ± 0.061
= ( 0.602, 0.724 )
lower limit = 0.602
upper limit = 0.724
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