Three randomly selected households are surveyed. The numbers of people in the households are 3, 5, and 10. Assume that samples of size n=2 are randomly selected with replacement from the population of 3, 5, and 10. 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 est
Three randomly selected households are surveyed. The numbers of people in the households are 3, 5, and 10. Assume that samples of size n=2 are randomly selected with replacement from the population of 3, 5, and 10. 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 est
MATLAB: An Introduction with Applications
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Question
Three randomly selected households are surveyed. The numbers of people in the households are 3, 5, and 10. Assume that samples of size n=2 are randomly selected with replacement from the population of 3, 5, and 10. 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.
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.
3,3
3,5
3,10
5,3
5,5
5,10
10,3
10,5
10,10
Construct the probability distribution table then chose the correct answer below
Choose the correct answer below.
The proportion of odd numbers in the population is not equal to the mean of the sample proportions.
The proportion of oddnumbers in the population is equal to the mean of the sample proportions.
The proportion of odd numbers in the population is equal to the mean of the sample proportions of even numbers.
The proportion of even numbers in the population is equal to the mean of the sample proportions of odd numbers.
Expert Solution
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Step 1
From the given information,
Sample |
Sample proportion for odd number |
(3,3) |
2/2=1 |
(3,5) |
2/2=1 |
(3,10) |
½=0.5 |
(5,3) |
2/2=1 |
(5,5) |
2/2=1 |
(5,10) |
½=0.5 |
(10,3) |
½=0.5 |
(10,5) |
½=0.5 |
(10,10) |
0/2=0 |
The sampling distribution is,
Sample proportion |
Frequency |
Probability |
0 |
1 |
1/9 |
0.5 |
4 |
4/9 |
1 |
4 |
4/9 |
Total=9 |
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