Final answer:
The sample size is 3841
Step-by-step explanation:
The sample size can be calculated by using the formula:
n = (z^2 * p' * q') / E^2
where n is the sample size, z is the z-score corresponding to the desired confidence level, p' is the sample proportion, q' is 1 - p', and E is the standard error.
In this case, the standard error is given as 0.02 and the proportion is p=0.8. Let's assume a desired confidence level of 95%, which corresponds to a z-score of 1.96. Plugging these values into the formula:
n = (1.96^2 * 0.8 * 0.2) / (0.02^2) = 3841
Therefore, the sample size is 3841.