In a local university, 10% of the students live in the dormitories. A random sample of 100 students is selected for a particular study. a) What is the probability that the sample proportion (the proportion living in the dormitories) is between 0.172 and 0.178? b) What is the probability that the sample proportion is less than 0.025?
Added by Salvador T.
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The mean of the sample proportion is equal to the population proportion, which is 0.10. The standard deviation of the sample proportion is sqrt[(0.10)(0.90)/100] = 0.03. We want to find the probability that the sample proportion is between 0.172 and 0.178. We Show more…
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