Solution :
n = 1200
x = 300
= x / n =300 / 1200 = 0.250
1 - = 1 - 0.250 = 0.750
At 90% confidence level the z is ,
= 1 - 90% = 1 - 0.90 = 0.10
/ 2 = 0.10 / 2 = 0.05
Z/2 = Z0.05 = 1.645
Margin of error = E = Z / 2 * (( * (1 - )) / n)
= 1.645 * (((0.250 * 0.750) / 900)
= 0.021
A 90 % confidence interval for population proportion p is ,
- E < P < + E
0.250 - 0.021 < p < 0.250 + 0.021
0.229 < p < 0.271
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