[Steps Shown] Suppose 6 out of 15 students in a grade-school class develop influenza, whereas 20% of grade-school students nationwide develop influenza.
Question: Suppose 6 out of 15 students in a grade-school class develop influenza, whereas 20% of grade-school students nationwide develop influenza.
- What is the probability of obtaining 6 sick students if the national rate holds true?
- Can this problem be answered by applying the normal approximation to a binomial distribution? Explain your answer.
- Based on the probability obtained in A, would you say that your sample rate is different from the national influenza rate?
- What is the probability of obtaining at least 6 sick students if the national rate holds true?
- Interpret the obtained probability in problem D.
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