31. Eco-Friendly A USA Today snapshot found that 47% of Americans associate “recycling” with Earth Day.14 Suppose a random sample of n5100 adults are polled and the 47% figure is correct.

a. Does the distribution of ˆp, the sample proportion of Americans who associate “recycling” with Earth Day, have an approximate normal distribution? If so, what is its mean and standard deviation?

b. What is the probability that the sample proportion ˆp is less than 0.45?

c. What is the probability that ˆp lies in the interval .42 to .45?

d. What might you conclude about p if the observed sample proportion were less than 0.30?

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Cleaning 23% local parks, beaches, etc. Recycling 47% 30% Planting a tree Taking care of the Earth What do you relate most to Earth Day?