The manager of a symphony in a large city wants to investigate music preferences for adults and students in the city. Let pA represent the population proportion of adults who live in the city who prefer pop music. Let pS represent the population proportion of students who live in the city who prefer pop music. Random samples of 200 adults from the city and 200 students from the city will be selected. Which of the following is the best interpretation of P(pˆA−pˆS>0)≈0.022 ?

Answer E

Step-by-step explanation

The statement gives a probability of approximately 0.022 for the difference in sample proportions, pˆA−pˆS, being greater than 0.

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