It is believed that nearsightedness affects about 13% of all children. A kinderg

Question

It is believed that nearsightedness affects about 13% of all children. A kindergarten has registered 177 incoming children. Can the central limit theorem be applied to describe the sampling distribution for the sample proportion of children who are nearsighted ?. Choose the most appropriate answer. Yes. The randomization, 10%, and success/failure conditions are all met with no assumptions. Yes. Assume that these children are typical of the population to satisfy the randomization condition and the 10% and success/failure are met. No. The randomization and success/failure conditions are met, but the 10% condition is not. No. The randomization and 10% conditions are met, but the success/failure condition is not.

Explanation / Answer

The correct option is B

Yes, Assume that these children are typical of the population to satisfy the randomization condition and the 10 % and success / failure are met

sample proportion of children is 13% *177 = 23.01 %

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