9. Chapter 9, Problem 9.2 A polling organization plans to sample 1,000 adult Ame
ID: 2927569 • Letter: 9
Question
9. Chapter 9, Problem 9.2 A polling organization plans to sample 1,000 adult Americans to estimate the proportion of Americans who think crime is a serious problem in this country In the context of this poll, explain the difference between a statistic and a parameter. The proportion of all adult Americans that thinks crime is a serious problem is proportion of the 1,000 adults in the sample who think crime is a serious problem is value, while the | value. What is the parameter of interest to the polling organization? O The 1,000 adults in the sample of adult Americans O The total population of all adult Americans O The proportion of the 1,000 adults in the sample who think crime is a serious problem O The proportion of all adult Americans that thinks crime is a serious problem What will be the statistic? O The total population of all adult Americans O The proportion of all adult Americans that thinks crime is a serious problem O The proportion of the 1,000 adults in the sample that thinks crime is a serious problem O The 1,000 adults in the sample of adult Americans Which of the following happen after the poll is taken? Check all that apply. The value of the statistic will be known. The parameter will give an estimate of the value of the statistic. The statistic will give an estimate of the value of the parameter. The value of the parameter will be known.Explanation / Answer
the proportion of all adult americans that thinks crime is a serious problem is A fixed value. [because it is the unknown quantity that needs to be estimated using the 100 sample. so it is a parameter, it is a fixed value]
while the proportion of the 1000 adults in the sample who think crime is a serious problem is a variable [because its value varies for different samples, it may change for another sample of 1000 adults]
parameter of interest to the polling organization:
the proportion of all adult americans that thinks crime is a serious problem
[because parameter is the unknown quantity of the population, and here proportion of all adult americans that thinks crime is a serious problem is unknown, and is a population quantity]
statistic is a sample quantity that is used to infer about the parameter
so to infer about the parameter here the statistic will be
the proportion of the 1000 adults in the sample that thinks crime is a serious problem
sample is totally known thing. hence statistic is also a known thing. and population is unknonwn so is parameter.
and the sample is used to estimate the population
hence the things happen after the poll is taken is
the value of statistic will be known
the statistic will give an estimate to the value of the parameter
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