Question

Predict the election A polling organization plans to ask a random sample of likely voters who they plan to vote for in an upcoming election. The researchers will report the sample proportion $\stackrel{\wedge }{p}$ that favors the incumbent as an estimate of the population proportion $p$that favors the incumbent. Explain to someone who knows little about statistics what it means to say that $\stackrel{\wedge }{p}$is an unbiased estimator of $p$.

Short answer

The statistic is unbiased if the mean of the sample distribution of a statistic used to estimate a parameter is identical to the value of the parameter being evaluated.

Step-by-step solution

Given Information

We need to explain how sample proportion is an unbiased estimator of population proportion.

Explanation

The statistic is unbiased if the mean of the sample distribution of a statistic used to estimate a parameter is identical to the value of the parameter being evaluated.

An unbiased statistic will occasionally fall above and occasionally fall below the true value of a parameter if we take several samples.