4. Suppose that a sample of 200 children aged 512 years is randomly drawn from a certain...

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4. Suppose that a sample of 200 children aged 5–12 years is randomly drawn from a certain area. Let the proportion of obese children estimated in this sample be 0.13.

For a significant test of H0 :  =0.2 vs. H1 :  0.2,  =0.05:

(a) Interpret and carry out the significance test.

(b) What is the probability that a Type I error would be encountered given that H0 is true?

(c) What is the probability that a Type II error would be encountered given that H0 is false?

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