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. 83 of the T88 randomly selected people who were suryeyed agreed with this theory. Round answers to 4 decimal places where possible. a. 1With 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 :l b. If many groups of T88 randomly selected people are surveyed, then a different confidence interyal would be produced from each group. About C] percent of these confidence interyals 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 C] percent will not contain the true population proportion. You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximatelyr 11%. You would like to he ans confident that your estimate is within 1% of the true population proportion. How large of a sample size is required