Sample Evaluation. Gloria Bush has performed a sampling plan to estimate the numberof children per household in her neighborhood. In doing so, she established a 10 percentacceptable 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 perhousehold.Required: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 onher 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 exceeds1.5 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 part (d)?
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:
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 part (d)?
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