Estimate the proportion of residents


In a study to estimate the proportion of residents in a city that support the construction of a new bypass road in the vicinity, a random sample of 1600 residents were polled. Let X denote the number in the sample who supported the proposal. To estimate the true proportion in support of the plan, we can compute p^=X+1600?/21600. The estimator p^ has bias

A. 1/(2×40).

B. 40/2.

C. 1/40.

D. 1/1600.

E. 0, so unbiased.

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Basic Statistics: Estimate the proportion of residents
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