A psychologist is interested in constructing a 90% 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, 50 of the 722 people agreed with this theory.

a. With 90% 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 722 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.