Question

A recent study by the Pew Research Center asked U.S. adults about the qualities it was most important for parents to impart to children. Respondents at different points on the ideological spectrum disagreed on many of these qualities, with conservatives stressing faith and liberals stressing tolerance, for example. But let’s concentrate on one everyone agreed on: Most said it was “especially important” to teach children responsibility (they also agreed on independence, hard work and good manners).

Let’s assume that 93% of all U.S. adults said it was “especially important” to teach children responsibility. Suppose a sample of 192 people is selected, and the percentage pˆ of that sample who value responsibility is to be calculated.

1. (a) Calculate the mean and standard deviation for the sampling distribution of pˆ.

2. (b) What is the shape of the sampling distribution of pˆ? How do you know?

3. (c) Calculate the probability of obtaining a sample proportion between 95% and 98%.

4. (d) Calculate the probability of obtaining a sample with 170 or fewer who value responsibility. [Hint: How do you get a percentage here?]

5. (e) Calculate the bounds of the middle 99% of possible values of pˆ.

I already figured out A,B, and E but I didn't know how to do C and D

Answer 1