southchrista3
22.01.2020 •
Mathematics
Astudy of voting chose 663 registered voters at random shortly after an election. of these, 72% said they had voted in the election. election records show that only 56% of registered voters voted in the election. which of the following statements is true about the boldface numbers?
a) 72% is a sample; 56% is a population.b) 72% and 56% are both statistics.c) 72% is a statistic and 56% is a parameter.d) 72% is a parameter and 56% is a statistic.e) 72% and 56% are both parameters.
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Ответ:
c) 72% is a statistic and 56% is a parameter.
Step-by-step explanation:
Previous concepts
A statistic or sample statistic "is any quantity computed from values in a sample", for example the sample mean, sample proportion and standard deviation
A parameter is "any numerical quantity that characterizes a given population or some aspect of it".
Solution to the problem
For this case we know that they select a sample of 663 registered voters and the sample proportion from these registered voters is:
representing the sample proportion of people who voted in the election
They info that they have is that the true proportion before is and that represent a value related to the population.
So on this case the 0.72 represent a statistic since represent the sample and the 0.52 is a value who represent the population for this case is a parameter.
So the correct option is:
c) 72% is a statistic and 56% is a parameter.
Ответ: