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. 51 of the 784 randomly selected people who were surveyed agreed with this theory. 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 (Round your answer to 3 decimal places.) b. If many groups of 784 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.

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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. 51
of the 784 randomly selected people who were surveyed agreed with this theory.
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
(Round your
answer to 3 decimal places.)
b. If many groups of 784 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.
Transcribed Image Text: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. 51 of the 784 randomly selected people who were surveyed agreed with this theory. 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 (Round your answer to 3 decimal places.) b. If many groups of 784 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.
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