1. 46% is a parameter and represents an estimate of the unknown value of a stati
ID: 3232609 • Letter: 1
Question
1.
46% is a parameter and represents an estimate of the unknown value of a statistic of interest.
2.
In a survey of sleeping habits, 8400 adults were selected randomly and contacted by telephone. Based on a medical association's recommended amount of sleep for adults, respondents were asked, “Do you typically sleep more than six hours during the night?” Of those surveyed, only 46% reported that they did. Which statement is TRUE with respect to this scenario? None of the above 46% is a statistic and represents an estimate of the unknown value of a parameter of interest. 8400 is the size of the population being studied.46% is a parameter and represents an estimate of the unknown value of a statistic of interest.
2.
In a survey of sleeping habits, 8400 adults were selected randomly and contacted by telephone. Based on a medical association's recommended amount of sleep for adults, respondents were asked, “Do you typically sleep more than six hours during the night?” Of those surveyed, only 46% reported that they did. Suppose the researchers that conducted the survey described above decide to conduct it again but will now interview only 5000 people. In the first survey of 8400 people, the observed proportion was 46%. Which statement is TRUE about the sample proportion for the second survey? By the law of large numbers, it would again be 46%. None of the above By the law of large numbers, the smaller (second) survey will certainly produce a sample proportion farther from the true population proportion than the larger (first) survey. The proportion computed from the sample of 5000 people would be more accurate because smaller samples tend to be more homogeneous than larger samplesExplanation / Answer
1) Here second option is correct. 46% is a statistic and represents an estimate of the unknown value of a parameter of interest. A statistic ican be any number which is calculated from a sample and here we have a sample of 8400 adults.
2) Here option C is correct. By the law of large numbers, the smaller (second) survey will certainly produce a sample proportion farther from the true population proportion than the larger (first) survey.
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