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A sociologist takes a simple random sample of 300 from the 27,000 students enrolled at a large state university. There are 222 undergraduates and 78 graduate students in the sample. So the sample percentage of undergraduates is 222/300 x 100 = 74%. The sociologist calculates the SE for the sample percentage of undergraduates, gets 2.5% as the result, and writes down the following 95%-confidence interval: 69% to 79%.
Say whether the following statements are true or false.
The range from 69% to 79% is an approximate 95% confidence interval for the percentage of undergraduates in the sample.
The 95% confidence interval is (approximately) right because the probability histogram for the percentage of undergraduates at the university follows the normal curve closely.
In the same semester, a second sociologist also takes a simple random sample of 300 students from the university, and uses the same procedure as the first sociologist to calculate a confidence interval. The second sociologist will arrive at exactly the same confidence interval as the first one.
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Mountain Man Brewing, a family owned business where Chris Prangel, the son of the president joins. Due to increase in the preference for light beer drinkers, Chris Prangel wants to introduce light beer version in Mountain Man. An analysis into the la..
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