In June 2005, a survey was conducted in which a random sample of 1,464 U.S. adults was asked the following question: "In 1973 the Roe versus Wade decision established a woman's constitutional right to an abortion, at least in the first three months of pregnancy. Would you like to see the Supreme Court completely overturn its Roe versus Wade decision, or not?"The results were: Yes—30%, No—63%, Unsure—7% (Source: www.Pollingreport.com)Which of the following is true about this scenario? 30%, 63%, and 7% are all parameters. 30%, 63%, and 7% are all statistics. If another random sample of size 1,464 U.S. adults were to be chosen, we would expect to get the exact same distribution of answers.
Question
In June 2005, a survey was conducted in which a random sample of 1,464 U.S. adults was asked the following question: "In 1973 the Roe versus Wade decision established a woman's constitutional right to an abortion, at least in the first three months of pregnancy. Would you like to see the Supreme Court completely overturn its Roe versus Wade decision, or not?"The results were: Yes—30%, No—63%, Unsure—7% (Source: www.Pollingreport.com)Which of the following is true about this scenario? 30%, 63%, and 7% are all parameters. 30%, 63%, and 7% are all statistics. If another random sample of size 1,464 U.S. adults were to be chosen, we would expect to get the exact same distribution of answers.
Solution
The correct answer is: 30%, 63%, and 7% are all statistics.
Here's why:
In statistics, a parameter is a value that describes a characteristic of an entire population, while a statistic is a value that describes a characteristic of a sample from the population.
In this scenario, the percentages (30%, 63%, and 7%) are derived from a sample of 1,464 U.S. adults, not the entire population of U.S. adults. Therefore, these percentages are statistics, not parameters.
As for the last statement, it's not necessarily true. If another random sample of size 1,464 U.S. adults were to be chosen, we might not get the exact same distribution of answers. This is because different samples can yield different results due to sampling variability.
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