It is thought that 10% of all children have some level of nearsightedness. 200 randomly selected children, selected without replacement, had their eyesight tested. Can the Central Limit Theorem be used to find a good approximation of the probability that more than 15% of the children will be nearsighted? Which statement is not true?

I. Relative to the population, the sample is not large enough.

II. The sample does not need to be randomized since all children are likely to have vision problems.

III. Sample size should be large enough so np>10 and nq>10. This condition is met.