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. 54 of the 828 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 828 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) 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 __0.0482_and__0.0818__

b) If many groups of 828 randomly selected people are surveyed, then a different confidence interval would be produced from each group. 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__5%__ percent will not contain the true population proportion.