Suppose a simple random sample of n people is selected for a poll. The populatio

Question

Suppose a simple random sample of n people is selected for a poll. The population from which the sample taken is approximately evenly divided between men and women, or p is approximately equal to 0.5. After all have been interviewed, it was noted that there were n1 = 70 men and n2 = 30 female respondents. To make an estimate for the population mean, the researcher completes the analysis by assuming that the men and women are different strata. This technique would give an appropriate estimate for the mean, but would have a slightly different variance than if the population had been separated into strata prior to selecting the sample. True False

Explanation / Answer

This is True. This technique would give an appropriate estimate of the mean. But if the population had been separated into strata prior to selecting the sample, then the sample would have 50 men and 50 women, which would have given a slightly different variance.

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