c) If you take a sample of size 508 from the original population where p is 2%, can we say that the sampling distribution of pp^ is approximately normal?

Why or why not? Check conditions:

1. np = _________ which ? < = > , ________ 2. n(1 - p) = ________ which ? < = > ,________ 3. and N = ________ which ? < = > ________

Can we say that the sampling distribution of p is approximately normal in this case?

(If the answer is no, state the first conditions in the list above that failed) Yes, since all 3 conditions check out; No, since the first condition did not check out; No, since the second condition did not check out; No, because the third condition did not check out

d) Redo part c assuming the population only has 6035 people in it.

Check conditions:

1. np = _________ which ? < = > , ________ 2. n(1 - p) = ________ which ? < = > ,________ 3. and N = ________ which ? < = > ________

Can we say that the sampling distribution of p is approximately normal in this case?

(If the answer is no, state the first conditions in the list above that failed) Yes, since all 3 conditions check out; No, since the first condition did not check out; No, since the second condition did not check out; No, because the third condition did not check out

e) In the last section a sample size of at least 30 was large enough to use the normal distribution to compute probabilities.

How are the problems in this section different? The variable information collected from each individual is now qualitative instead of quantitative; The variable information collected from each individual is now quantitative instead of qualitative; It does not matter what variable information is collected from each individual, the conditions to check are always the same