Question 1182847: 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 753 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 _________.
b. If many groups of 753 randomly selected people are surveyed, than 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.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! p hat is 0.0677, or 51/753.
99%CI is z(0.995)*sqrt(p hat*(1- p hat)/n)
=2.5758*sqrt(0.0677*0.9323/753)
=0.0236
So the interval is (0.0441, 0.0913)
would expect 99% of the intervals to contain the true parameter and 1% not. One would not know, however, which 99/1.
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