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Statistics Question last one...?


A radio talk show hose with a large audience is interested in the proportion p of adults in his listening area that think the drinking age should be lowered to 18. To find this out he poses the following question to his listeners "do you think that the drinking age should be reduced to 18 in light of the fact that 18 year olds are eligible for military service?" He asks listeners to phone in and vote "yes" is they agree the drinking age should be lowered and "no" if not. Of the 100 people who phoned in 70 answered "yes". Which of the following assumptions for inference about a proportion using a confidence interval are violated?
a.) The data are an SRS from the population of interest
b.) the population is at least 10 times as large as the sample
c.) the sample size is so large that both the count of successes n9p) and the count of failures n(1-p) are 10 or more. **please note that p is p hat**
d.) There appear to be no violations

The issue here is the way the question was phrased. If the question was "do you think the drinking age should be lowered to 18" then there would likely be a good simple random sample. the fact the host added "18 year olds are eligible for military service" influences the type of people who will call and skews the data set.

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