Solution :
Given that,
Point estimate = sample proportion = = x / n = 540 / 1200 = 0.450
1 - = 1 - 0.450 = 0.55
At 95% confidence level the z is ,
= 1 - 0.95 = 0.05
Z = Z 0.05 = 1.645
Margin of error = E = Z / 2 * (( * (1 - )) / n)
= 1.645 * (((0.450 * 0.55) / 1200)
= 0.024
A 95% lower bound of the confidence interval for population proportion p is ,
- E
0.450 - 0.024
0.426
The lower bound of the confidence interval is 0.426
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