Opinion Research has said that 49.46% of U.S. adults have purchased life insurance. Suppose that for a random sample of 47 adults from a given U.S. city, a researcher finds that only 48.18% of them have purchased life insurance. At the 0.01 level, is this sample finding significantly lower than the 49.46% reported by Opinion Research?   Select one:   a) z_stat = -2.11 and z_cr = -2.33 : The sample finding significantly lower than the reported percentage by Opinion Research b) z_stat = -2.11 and z_cr = -2.33 : The sample finding is not significantly lower than the reported percentage by Opinion Research c) z_stat = -2.8696 and z_cr = -2.58 : The sample finding is not significantly lower than the reported percentage by Opinion Research d) z_stat = -2.8696 and z_cr = -2.58 : The sample finding significantly lower than the reported percentage by Opinion Research

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A:

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.