IMathAS-libretexts

Scenario: According to the UCLA Internet Report (February 2003) the use of the Internet at home is growing steadily. The report estimated that roughly 59.3% of households in the Unites States have Internet access at home. Has that trend continued since the report was released? To study this, a random sample of 1,200 households from a big metropolitan area was chosen, and it was found that 972 had an Internet connection. Let p be the proportion of U.S. households that have Internet access.Which of the following is correct:

It is safe to use the z-test for p.
It is not safe to use the z-test for p, since the sample is not a random sample from the entire population (or cannot be considered as one).
It is not safe to use the z-test for p since n * p_ois not large enough.
It is not safe to use the z-test for p since n * (1 - p_o) is not large enough.

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