In 2013, the Pew Research Foundation reported that 45% of U.S. adults report tha
ID: 2948658 • Letter: I
Question
In 2013, the Pew Research Foundation reported that 45% of U.S. adults report that they live with one or more chronic conditions". However, this value was based on a sample, so it may not be a perfect estimate for the population parameter of interest on its own. The study reported a standard error of about 1.2%, and a normal model may reasonably be used in this setting. The 95% condence interval for the proportion of U.S. adults who live with one or more chronic conditions, is 43.8% to 46.2%.
Can we say with certainty that the condence interval 43.8% to 46.2% contains the true percentage of U.S. adults who suffer from a chronic illness.
YES, the description focuses on the true population value.
YES. Condence intervals provide a range of guaranteed values, and is always correct.
NO. Condence intervals provide a range of guaranteed values, and is always correct.
NO. Confidence intervals provide a range of plausible values, and sometimes the true population parameter is missed. A 95% condence interval misses about 5% of the time.
YES, the description focuses on the true population value.
YES. Condence intervals provide a range of guaranteed values, and is always correct.
NO. Condence intervals provide a range of guaranteed values, and is always correct.
NO. Confidence intervals provide a range of plausible values, and sometimes the true population parameter is missed. A 95% condence interval misses about 5% of the time.
Explanation / Answer
A 95% confidence interval for population proportion means that the true population proportion value lies in the computed interva with a 0.95 probability and hence misses it with a probability of 0.05. Therefore D is the correct answer here.
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