A politician is interested in the proportion of voters in his district who think he is doing a good job. Define the following in terms of the study. Give examples where appropriate.Part (a)Part (b)Part (c)The parameterThe parameter is the number of people in the district.The parameter is the proportion of all voters in the district who think the politician is doing a good job. The parameter is the proportion of a group of voters in the district who think the politician is doing a good job.The parameter is the number of registered voters in the district.
Question
A politician is interested in the proportion of voters in his district who think he is doing a good job. Define the following in terms of the study. Give examples where appropriate.Part (a)Part (b)Part (c)The parameterThe parameter is the number of people in the district.The parameter is the proportion of all voters in the district who think the politician is doing a good job. The parameter is the proportion of a group of voters in the district who think the politician is doing a good job.The parameter is the number of registered voters in the district.
Solution
Part (a) The Parameter: In this study, the parameter is the true proportion of all voters in the politician's district who believe he is doing a good job. This is an unknown value that the politician is interested in estimating.
Part (b) Example of the Parameter: If there are 10,000 registered voters in the district and 7,000 of them think the politician is doing a good job, then the parameter (the true proportion of voters who think he is doing a good job) would be 7,000/10,000 = 0.7 or 70%.
Part (c) The Parameter in a Different Context: If the politician wants to know the proportion of a specific group of voters (for example, voters under the age of 30) who think he is doing a good job, then the parameter would be the true proportion of all voters under the age of 30 in the district who believe he is doing a good job.
Similar Questions
A politician is interested in the proportion of voters in his district who think he is doing a good job. Define the following in terms of the study. Give examples where appropriate.Part (a)The populationThe population is all voters in the district.The population is all the voters in the district who think the politician is doing a good job. The population is a group of voters in the district.The population is a group of voters in the district who think the politician is doing a good job.Part (b)The sampleThe sample is all the voters in the district who think the politician is doing a good job.The sample is all voters in the district. The sample is a group of voters in the district who think the politician is doing a good job.The sample is a group of voters in the district.Part (c)The parameterThe parameter is the number of people in the district.The parameter is the proportion of all voters in the district who think the politician is doing a good job. The parameter is the proportion of a group of voters in the district who think the politician is doing a good job.The parameter is the number of registered voters in the district.Part (d)The statisticThe statistic is the number of registered voters in a group of people.The statistic is the number of people in the district. The statistic is the proportion of a group of voters in the district who think the politician is doing a good job.The statistic is the number of voters in the district who think the politician is doing a good job.
A politician is interested in the proportion of voters in his district who think he is doing a good job. Define the following in terms of the study. Give examples where appropriate.Part (a)Part (b)Part (c)Part (d)Part (e)Part (f)The dataExamples: Good job, Bad job, No opinionExamples: 1, 2, 3, 4 Examples: Republican, Democrat, IndependentExamples: Jon, Sophia, Marcus
A politician is interested in the proportion of voters in his district who think he is doing a good job. Define the following in terms of the study. Give examples where appropriate.Part (a)Part (b)Part (c)Part (d)The statisticThe statistic is the number of registered voters in a group of people.The statistic is the number of people in the district. The statistic is the proportion of a group of voters in the district who think the politician is doing a good job.The statistic is the number of voters in the district who think the politician is doing a good job.
A politician is interested in the proportion of voters in his district who think he is doing a good job. Define the following in terms of the study. Give examples where appropriate.Part (a)Part (b)Part (c)Part (d)Part (e)The variableThe variable is the political party of the voters.The variable is the status of a citizen's voter registration. The variable is the politician's view of his job.The variable is the opinion of the registered voters.
A political polling agency wants to take a random sample of registered voters and ask whether or not they will vote for a certain candidate. One plan is to select 400 voters, another plan is to select 1,600 voters.If the study were conducted repeatedly (selecting different samples of people each time), which one of the following would be true regarding the resulting sample proportions of "yes" responses? Different sample proportions would result each time, but for sample size 400 they would be centered (have their mean) at the true population proportion, whereas for sample size 1,600 they would not. Different sample proportions would result each time, but for either sample size, they would be centered (have their mean) at the true population proportion. Different sample proportions would result each time, but for sample size 1,600 they would be centered (have their mean) at the true population proportion, whereas for sample size 400 they would not. For either sample size, using the same size each time, as long as the samples are drawn with replacement, they would be centered (have a mean) at 0.
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