Three randomly selected households are surveyed. The numbers of people in the households are 2 ​, 7 ​, and 12 . Assume that samples of size nequals 2 are randomly selected with replacement from the population of 2 ​, 7 ​, and 12 . Construct a probability distribution table that describes the sampling distribution of the proportion of even   numbers when samples of sizes nequals 2 are randomly selected. Does the mean of the sample proportions equal the proportion of even   numbers in the​ population? Do the sample proportions target the value of the population​ proportion? Does the sample proportion make a good estimator of the population​ proportion? Listed below are the nine possible samples.   2 ​,2     2 ​,7     2 ​,12     7 ​,2     7 ​,7     7 ​,12     12 ​,2     12 ​,7     12 ​,12

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.