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Newspaper reports tell us that the average American is overweight. Many of us have tried to lose weight when we finished high school or college. And indeed, only 19% of adults say that they do not suffer from weight loss problems. Assume that the 19% figure is correct and that a random sample of n = 100 adults is selected

1. Does the distribution of p^, that is, the sample proportion of adults who are not overweight, have an approximate normal distribution? If so, what is its mean and standard deviation?

2. What is the probability that the sample proportion ˆp exceeds 0.25?

3. What is the probability that ˆp is within the interval 0.25 to 0.30?

4.What could be concluded about p if the sample proportion exceeds 0.40?

(Hint: find the probability that the sample proportion exceeds 0.04).


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