Sample Evaluation. Gloria Bush has performed a sampling plan to estimate the num

Question

Sample Evaluation. Gloria Bush has performed a sampling plan to estimate the number of children per household in her neighborhood. In doing so, she established a 10 percent acceptable level of sampling risk and found a sample estimate of 2.5 children per household. Based on the acceptable level of sampling risk, she calculated a precision of 0.7 children per household. Required: Page 747 a. Define the terms precision and reliability. How are these terms related? b. What is the precision interval in this example? What statement can Bush make based on her sample evidence? c. Assume that she desires a lower sampling risk (5 percent). How will this affect the precision interval? d. If she is interested in knowing whether the number of children per household exceeds 1.5 children, how would you advise her based on the following outcomes? In all cases, assume that the sample estimate is 2.5 children per household. 1. Reliability = 90 percent; precision = 0.7 children per household. 2. Reliability = 95 percent; precision = 1.4 children per household. 3. Reliability = 99 percent; precision = 1.8 children per household. e. What causes the differences in the relationships noted in (d)?

Explanation / Answer

Answer to part a)

when we say we take multiple measures with different intstruments we observe how close they are to each other , it is called precision

But when we observe the measurements from same instruement and look for consistency, it is called reliability.

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When there is no change in the instrument , and rest all the factors are same reliability and precision are same terms.

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Answer to part b)

The precision interval would be : 2.5 -0.7 , 2.5+0.7 , that is 1.8-3.2 is the precision interval.

The statement would be : We are 90% sure that the number of children per household lies between 1.8 and 3.2.

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Answer to part c)

if the reliability goes to 95%, the precision changes to 1.4 children er household.

Thus we can say as the sampling risk is reduced to half of it (10% to 5%) , the precision level is doubled (0.7 to 1.4)

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Answer to part d)

I believe this can be found , with the help of estimate 2.5 children per household and taking the precision to be 0.7 for the sampling risk 10%.

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