A psychologist is interested in constructing a 99% confidence interval for the proportion of people who accept the theor

[answerhappygod]

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. 61 of the 731 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
betweenand .
b. If many groups of 731 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.