In: Statistics and Probability
If n=110 and ˆpp^ (p-hat) =0.43, find the margin of error at a
90% confidence level
Give your answer to three decimals.
SOLUTION
Point estimate = sample proportion = = 0.43
1 - =0.57
At 90% confidence level
= 1 - 90%
= 1 - 0.90 =0.10
/2
= 0.05
Z/2
= Z0.05 = 1.645 ( Using z table )
Margin of error = E Z/2 *(( * (1 - )) / n)
= 1.645 *((0.43*0.57) / 110)=0.078