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Based on survey results, the proportion of U.S. adults who own at least one Apple product (iphone, ipad, macbook, etc) is 0.42. This point estimate would be unbiased and most accurate if the survey were based on which of the following? A random sample of 1,000 U.S. adults A random sample of 1,800 U.S. adults A random sample of 2,500 U.S. college students An internet survey posted on TechGuru.com with 3,100 responses

Question

Based on survey results, the proportion of U.S. adults who own at least one Apple product (iphone, ipad, macbook, etc) is 0.42. This point estimate would be unbiased and most accurate if the survey were based on which of the following? A random sample of 1,000 U.S. adults A random sample of 1,800 U.S. adults A random sample of 2,500 U.S. college students An internet survey posted on TechGuru.com with 3,100 responses

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Solution

The most accurate and unbiased point estimate would be based on a random sample of 1,800 U.S. adults.

Here's why:

  1. A larger sample size generally provides a more accurate estimate. So, a sample of 1,800 adults is better than a sample of 1,000 adults.

  2. The sample should be representative of the population we're interested in. In this case, we're interested in U.S. adults. So, a sample of U.S. adults is better than a sample of U.S. college students, who might not be representative of all U.S. adults.

  3. The sample should be randomly selected to avoid bias. An internet survey posted on TechGuru.com might not be randomly selected, because it could be biased towards people who are interested in technology and therefore more likely to own an Apple product.

So, based on these considerations, a random sample of 1,800 U.S. adults would provide the most accurate and unbiased point estimate.

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