Solution :
Given that,
n = 1100
x = 880
Point estimate = sample proportion = = x / n = 880/1100=0.8
1 - = 1-0.8=0.2
At 94% confidence level
= 1 - 94%
= 1 - 0.94=0.06
/2
= 0.03
Z/2
= Z0.03= 1.881( Using z table )
Margin of error = E = Z / 2 * (( * (1 - )) / n)
= 1.881 (((0.8*0.2) /1100 )
E = 0.023
A 94% confidence interval for population proportion p is ,
- E < p < + E
0.8 -0.023 < p < 0.8 + 0.023
0.777< p < 0.823
The 94% confidence interval for the population proportion p is :lower limit 0.777 upper limit =0.823
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