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In a city with a population of 120,000 determine how many people use blenders, what size sample would be needed to estimate within 5% points of the actual percentage – within a 95% confidence limit. Nothing is known about the probability of success or failure….let s = 0.5
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The sample size formula uses three key factors:
(1) the alpha level, the level of acceptable risk the researcher is willing to accept that the true margin of error exceeds the acceptable margin of error; i.e., the probability that differences revealed by statistical analyses really do not exist; also known as Type I error. In this case,

The alpha level …

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