Eco-Friendly Recycling trash, reducing waste, and reusing materials are eco-actions...

Eco-Friendly Recycling trash, reducing waste, and reusing materials are eco-actions that will help the environment. According to a USA Today snapshot (Exercise 6.45), 78% of respondents list recycling as the leading way to help our environment.11 Suppose that a random sample of n = 100 adults is selected and that the 78% figure is correct.

a. Does the distribution of , the sample proportion of adults who list recycling as the leading way to help the environment have an approximate normal distribution? If so, what is its mean and standard deviation?

b. What is the probability that the sample proportion is less than 75%?

c. What is the probability that lies in the interval .7 to .75?

d. What might you conclude about p if the sample proportion were less than .65?

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How Can I Help? Are you helping to save the environment? A USA Today Snapshot found that about 78% of Americans believe that recycling trash makes the biggest difference in protecting the environment.

Suppose a random sample of n = 50 adults are polled and asked if they believed that recycling made the biggest difference in protecting our environment. Let us assume that the 78% figure is, in fact, correct. What are the probabilities for the following events?

a. Fewer than 30 individuals believe that recycling makes the biggest difference?

b. More than 40 individuals believe that recycling makes the biggest difference?

c. More than 10 individuals believe that recycling does not make the biggest difference?