STATISTICAL TECHNIQUES AND TOOLS
TESTS OF SIGNIFICANCE
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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When performing a test about the population proportion, what distribution would you need to use?
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z
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t
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chi-square
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cannot determine
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Explanation:
Detailed explanation-1: -z We know that we use the normal distribution or z-test when performing the hypothesis test about the population proportion.
Detailed explanation-2: -A z-test is used if the population variance is known, or if the sample size is larger than 30, for an unknown population variance. If the sample size is less than 30 and the population variance is unknown, we must use a t-test.
Detailed explanation-3: -The reason you can use a z-test with proportion data is because the standard deviation of a proportion is a function of the proportion itself. Thus, once you have estimated the proportion in your sample, you don’t have an extra source of uncertainty that you have to take into account.
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