Question

A psychologist is interested in constructing a 95% 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. 51 of the 755 randomly selected people who were surveyed agreed with this theory.

Round answers to 4 decimal places where possible.

a. With 95% 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 755 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.

Answer 1

(a)

(b)

About 95% 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 100% - 95% = 5 percent will not contain the true population proportion