Question 1176022: 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. 61 of the 813 randomly selected people who were surveyed agreed with this theory.
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 813 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.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! p hat =0.075, point estimate
half-interval for 95%CI iz z(0.975)*sqrt (p*(1-p)/n)
sqrt(0.075*0.925/813)=0.0092
SE=1.96*0.0092=0.0181
CI is (0.057, 0.093)
95% of many intervals will contain the the true proportion
5 will not
One doesn't know which 95, only that about 95 of them will.
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