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. 75 of the 729 randomly selected people who were surveyed agreed with this theory.
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 betweenand .
b. If many groups of 729 randomly selected people are surveyed, then a different confidence interval would be produced from each group. About Correct 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 Correct percent will not contain the true population proportion.