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

Question

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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