In: Statistics and Probability
Solution :
Given that,
= 0.146
1 - = 1 - 0.146 = 0.854
margin of error = E = = 0.009
At 99% confidence level the z is,
= 1 - 99%
= 1 - 0.99 = 0.01
/2 = 0.005
Z/2 = 2.58 ( Using z table )
Sample size = n = (Z/2 / E)2 * * (1 - )
= (2.58 / 0.009)2 * 0.146 * 0.854
=10246.25
Sample size = 10246