A researcher obtains independent simple random samples of men and women between

Question

A researcher obtains independent simple random samples of men and women between the ages of 20 and 29. She finds that 35 of the 410 men and 59 of 398 women suffered from insomnia at least once a week during the past year. Are the requirements for inference with the two-proportion z-test satisfied? Yes, since the samples are independence and for each sample there are at least five successes and at least five failures No, because we need to verify that the population standard deviations are the same before we can run the test. No, because we need to verity that the sample values are normally distributed before we can run the test. No, because (2) and (3) above must both be verified before we can run the test.

Explanation / Answer

The test procedure, called the two-proportion z-test, is appropriate when the following conditions are met:

Clearly all the conditions are satisfied here.

Therefore a) is the correct answer here.

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