Question: A Gallup poll fins 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 p is between 0.29 and 0.31 if the population proportion is p=0.30?

a. What is the probability that the sample proportion p is between 0.05 and 0.07 if the population proportion is p=0.06?

a. How does the probability that p falls within 0.01 of the true p change as p gets closer to 0?