1.- A psychologist is interested in constructing a 99% confidence interval for the proportion of people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain. 66 of the 782 randomly selected people who were surveyed agreed with this theory. Round answers to 4 decimal places where possible.

a.With 99% confidence the proportion of all people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain is between_________and___________.

b.If many groups of 782 randomly selected people are surveyed, then a different confidence interval would be produced from each group. About_____________percent of these confidence intervals will contain the true population proportion of all people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain and about___________percent will not contain the true population proportion.

2.-Out of 100 people sampled, 78 preferred Candidate A. Based on this, estimate what proportion of the entire voting population (p) prefers Candidate A.

Use a 99% confidence level, and give your answers as decimals, to three places.

_________

3.- We wish to estimate what percent of adult residents in a certain county are parents. Out of 400 adult residents sampled, 148 had kids. Based on this, construct a 90% confidence interval for the proportion p of adult residents who are parents in this county.

Express your answer in tri-inequality form. Give your answers as decimals, to three places.

__________< p <_____________Express the same answer using the point estimate and margin of error. Give your answers as decimals, to three places.

p =_________________

4.- Assume that a sample is used to estimate a population proportionp. Find the 98% confidence interval for a sample of size 313 with 50% successes. Enter your answer as anopen-interval(i.e., parentheses) using decimals (not percents) accurate to three decimal places.

C.I. =_____________