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In: Statistics and Probability

Oxbrayne info from previous question (Consider the neighborhood, Oxbrayne, with 1933 residents where 50 % fall...

Oxbrayne info from previous question

(Consider the neighborhood, Oxbrayne, with 1933 residents where 50 % fall in the A-class.)

2. Sticking with Oxbrayne as describe above. Consider a sample size (with replacement) of 25 used to estimate the proportion of its residents falling in to A-class.

(a) What is the probability that an estimate of ˆp exactly coincides with the true proportion?

(b) Now what if the sample size was effectively infinite, and sampling was with replacement. What would your answer be now?

(c) How would you describe ˆp given the original sample size of 25 ? Be sure to specify all that you are capable of specifying.

(d) Calculate the probability that the ˆp estimate obtained in a sample would exceed a value of 59.1 %

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