Please give a detailed explanation, not just the response. If possible, a way to work out the problem in Excel is helpful! Thanks in advance! A psychologist is interested in constructing a 99%...

Please give a detailed explanation, not just the response. If possible, a way to work out the problem in Excel is helpful! Thanks in advance!

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. 54 of the 736 randomly selected people who were surveyed agreed with this theory. Round answers to 4 decimal places where possible.

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 ____.

b.  If many groups of 736 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