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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.

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)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.

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Solution

Part (a) The Statistic: In this study, the statistic would be the proportion of voters in the politician's district who believe he is doing a good job. This would be determined by conducting a survey or poll among the voters in the district. For example, if out of 1000 voters, 600 believe the politician is doing a good job, the statistic would be 0.6 or 60%.

Part (b) The Population: The population in this study would be all the registered voters in the politician's district. This is the group that the politician is interested in and the group that the statistic is based on. For example, if the district has 10,000 registered voters, then that is the population for this study.

Part (c) The Sample: The sample in this study would be the group of voters who are surveyed or polled to determine the statistic. This could be a random selection of voters from the district. For example, if 1000 voters are surveyed out of 10,000, then those 1000 voters are the sample.

Part (d) The Parameter: The parameter in this study would be the true proportion of all voters in the district who think the politician is doing a good job. This is what the statistic is trying to estimate. For example, if in reality, 7000 out of 10,000 voters think the politician is doing a good job, then the parameter would be 0.7 or 70%.

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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.

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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 sample statistic is an estimate ofMultiple Choicepopulation parameter.sample parameter.descriptive statistic.population statistic.

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