Under coverage is a problem that occurs in surveys when some groups in the population are...

Under coverage is a problem that occurs in surveys when some groups in the population are underrepresented in the sampling frame used to select the sample. We can check for under coverage by comparing the sample with known facts about the population.
1. Suppose we take an SRS of n = 500 people from a population that is 25% Hispanic. How many Hispanics are expected in a given sample? 125
2. What is the standard deviation for the number of Hispanics in a sample? 9.682
3. Can the normal approximation to the binomial be used to help make probabilistic statements about samples from this population? The normal approximation to the binomial can be used to help make probabilistic statements about samples about this population because npq (93.75) is greater than 5 which is what is needed in order to make probabilistic statements.
4. Would a sample mean with 100 Hispanic people be different from the population mean? Give the p-value and explain your reasoning.
5. What is the confidence interval for the sample mean of 100?
6. Does the confidence interval agree with your p-value, explain your reasoning.
7. Would you suspect undercoverage in a sample with 100 Hispanics? Explain your reasoning.

Expert Solution

orchestra answered 1 year ago

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