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The proportion of items in a population that have a certain characteristic is 0.

ID: 3049099 • Letter: T

Question

The proportion of items in a population that have a certain characteristic is 0.50. Fifty random samples are taken from the population and an estimate of the population proportion has been calculated from each sample, and a histogram of the resulting estimates has been drawn. This process has been repeated four times under different conditions, a different sample size, for example. Which of the following is consistent with an estimator that is both unbiased and has relatively low sampling variability?

p-0.5 P 0.5 t0 p= 0.5 D-0.5 emaining: 2713Start:3.56 PM

Explanation / Answer

here bottom 2 graphs are skewed so that they must have high variability

2nd option from top is symmetric therefore should have lowest variability.