Consider a situation in which sampling without replacement is used to generate a random sample from each of two separate populations. To calculate a confidence interval to estimate the difference between population proportions, which of the following checks must be made?

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Answer:

Each population must be at least 10 times as large as its corresponding sample.

Step-by-step explanation:

The 10 percent rule checks that the sample is small relative to the population (that is, that the population is at least 10 times as large as the sample size) so that independence of observations within a sample is reasonable to assume.

The check that must be made is (b)  Both population must be approximately normal

From the question, we have the following highlights

  • The sampling is without replacement
  • There are separate populations

When the above highlights are true, then the population where the samples are to be selected must be approximately normal

Hence, the check that must be made is (b)  Both population must be approximately normal

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