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 Of those randomly selected 58 of the 713 people agreed with this theory 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 Round to 3 decimal places b If many groups of 713 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