8.3 Exercise 47

According to a recent survey of 1,200 people, 61 percent believe that the president is doing an acceptable job. We are interested in the population proportion of people who believe the president is doing an acceptable job.

1. Define the random variables X and P′ in words.
2. Which distribution should you use for this problem? Explain your choice.
3. Construct a 90 percent confidence interval for the population proportion of people who believe the president is doing an acceptable job.
   1. State the confidence interval.
   2. Sketch the graph.
   3. Calculate the error bound.