5.23 on Introduction to the Practice of Statistic (6th Edition) A Gallup Poll fi

Question

5.23 on Introduction to the Practice of Statistic (6th Edition)

A Gallup Poll finds that 30% of adults visited a casino in the past 12 months, and that 6% bet on college sports. These results come from a random sample of 1011 adults. For an SRS of size n = 1011:

(a) What is the probability that the sample proportion is between 0.28 and 0.32 if the population proportion is p = 0.30?

(b) What is the probability that the sample proportion is between 0.04 and 0.08 if the population proportion is p = 0.06?

(c) How does the probability that the sample proportion falls within ±0.02 of the true p change as p gets closer to 0?

I don't understand the question

thank you

Explanation / Answer

These results come from a random sample of 1011 adults. For an SRS of size n = 1011: (a) What is the probability that the sample proportion is between 0.28 and 0.32 if the population proportion is p = 0.30? 0.28*1011=283.08 0.32*1011=323.52 0.3*1011=303.3 P(283.08

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