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. 55 of the 848 randomly selected people who were surveyed agreed with this theory. Round answers to 4 decimal places where possible.
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 _______. (use 4 decimal places)
b. If many groups of 848 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. (use 4 decimal places)
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