SOLUTION: A random sample of 732 judges found that 405 were introverts. Construct a 95% confidence interval for the proportion. Interpret the meaning of the confidence interval. Justify your

Question 1183968: A random sample of 732 judges found that 405 were introverts. Construct a 95% confidence interval for the proportion. Interpret the meaning of the confidence interval. Justify your use of a confidence interval based on a normal distribution for data regarding proportions that are normally following a binomial distribution. (10 points)
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
p hat, point estimate, is 405/732=0.5533
half-interval for 95% Is z(0.975)*sqrt(0.5533*0.4467/732)
=1.96*0.0184
=0.0360
the interval is (0.5173, 0.5893)
We are highly confident that the true value the proportion of judges who are introverts lies within this interval.
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