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A random sample of n 1 = 110 individuals results in x 1 = 40 successes. An indep

ID: 3207267 • Letter: A

Question

A random sample of n1 = 110 individuals results in x1 = 40 successes. An independent sample of n2 = 150 individuals results in x2 = 60 successes. Think about if this represents sufficient evidence to conclude that p1 < p2 at the = 0.10 level of significance. What type of test should be used?

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Answer A   A hypothesis test regarding the difference between two populations from dependent samples.

Answer B   A hypothesis test regarding the difference between two population proportions from independent samples.

Answer C   A hypothesis test regarding the difference of two means using a matched-pairs design.

Answer D   A hypothesis test regarding two population standard deviations.

Explanation / Answer

Answer B   A hypothesis test regarding the difference between two population proportions from independent samples.

Reason: It is mentioned in the question that the 2 samples are drawn independently. Also, we are comparing population proportions p1 and p2. Hence, B seems the most appropriate test.

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