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Multiple Choice
46.5% of all registered voters in a country are registered democrats. Is this a parameter or a statistic?
A
Parameter
B
Statistic
Verified step by step guidance
1
Understand the difference between a parameter and a statistic: A parameter is a numerical value that describes a characteristic of a population, while a statistic is a numerical value that describes a characteristic of a sample.
Identify the population in the problem: The problem states 'all registered voters in a country,' which indicates that the entire population of registered voters is being considered.
Determine what the 46.5% represents: Since the percentage is describing a characteristic of the entire population of registered voters (i.e., the proportion of registered democrats), it is a parameter.
Recognize that if the percentage were based on a sample of registered voters rather than the entire population, it would be considered a statistic.
Conclude that because the 46.5% is based on the entire population of registered voters, it is a parameter, not a statistic.