A psychologist is interested in constructing a 95% 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. 73 of the 793 randomly selected people who were surveyed agreed with this theory. Round answers to 4 decimal places where possible. a. With 95% 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 b. If many groups of 793 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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A psychologist is interested in constructing a 95% 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. 73 of the 793 randomly selected
people who were surveyed agreed with this theory. Round answers to 4 decimal
places where possible.
a. With 95% 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
b. If many groups of 793 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 95% 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. 73 of the 793 randomly selected people who were surveyed agreed with this theory. Round answers to 4 decimal places where possible. a. With 95% 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 b. If many groups of 793 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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