Solution,
Given that,
= 69% = 0.69
1 - = 1 - 0.69 = 0.31
margin of error = E = 1.5% = 0.015
At 99% confidence level
= 1 - 99%
= 1 - 0.99 = 0.01
/2
= 0.005
Z/2
= Z0.005 = 2.576
Sample size = n = (Z / 2 / E )2 * * (1 - )
= (2.576 / 0.015 )2 * 0.69 * 0.31
= 6308.41
Sample size = n = 6309
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