Three randomly selected households are surveyed. The numbers of people in the households are 4​, 5​, and 9. Assume that samples of size n=2 are randomly selected with replacement from the population of 4​, 5​, and 9. Construct a probability distribution table that describes the sampling distribution of the proportion of odd numbers when samples of sizes n=2 are randomly selected. Does the mean of the sample proportions equal the proportion of odd 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.

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Three randomly selected households are surveyed. The numbers of people in the households are 4​, 5​, and 9. Assume that samples of size n=2 are randomly selected with replacement from the population of 4​, 5​, and 9. Construct a probability distribution table that describes the sampling distribution of the proportion of odd numbers when samples of sizes n=2 are randomly selected. Does the mean of the sample proportions equal the proportion of odd 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.
4​,4   
4​,5   
4​,9   
5​,4   
5​,5   
5​,9   
9​,4   
9​,5   
9​,9
 
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