Question

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 739 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 _____.

Answer 1

Sample proportion = 54 / 739 = 0.073

99% confidence interval for proportion p is

- Z * sqrt ( ( 1 - ) / n) < p < + Z * sqrt ( ( 1 - ) / n)

0.073 - 2.576 * sqrt( 0.073 * 0.927 / 739 ) < p < 0.073 + 2.576 * sqrt( 0.073 * 0.927 / 739 )

0.048 < p < 0.098

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 0.048 and 0.098