9. Researchers are planning a survey to estimate the percent of Hobbits that hav

Question

9. Researchers are planning a survey to estimate the percent of Hobbits that have foot lice. They will select a sample of n = 100 Hobbits using simple random sampling. Assume that the percent of Hobbits in the population with foot lice is 50%, but this is not known to the researchers, so they will use an estimate based on the percent of Hobbits in the sample with foot lice. The margin of error is then approximately 1 100 100% × 10%. This means that there is about a (a) 95% chance the sample percent will equal the population percent (b) 95% chance the sample percent will be between 40% and 60% (c) 10% chance the sample percent will not equal the population percent (d) 10% chance the sample percent will not be between 40% and 60%

Explanation / Answer

B. 95% chance that sample mean is between 40% to 60%

Margin of error gives the range for mean here it is 10 %

So range of mean = 50% (+/-) 10% = (40%, 60%)

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