Consider twenty independent random samples, used to compute twenty separate 90% confidence intervals for a parameter θ
(a) How many intervals would you expect to contain the true value of θ?
(b) What is the probability that at least 16 of the intervals contain the true θ?
a) expected number of interval that contain the true value of θ =np=20*0.9 =18
b)P(X>=16)= =0.9568
Consider twenty independent random samples, used to compute twenty separate 90% confidence intervals for a parameter...
A 90% confidence interval means that with a large number of repeated random samples, 90% of such calculated confidence intervals would include the true value of the parameter. true or false?
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Suppose that you take 800 simple random samples from a population and that, for each sample, you obtain a 99% confidence interval for an unknown parameter. Approximately how many of the confidence intervals will contain the value of the unknown parameter? Round to a whole number.
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