A city in Texas contracted with a researcher to do a survey based on a random sample of 200 residents. In the end, the researcher submitted a report that indicated that 136 residents from the central city and 74 from the outlying areas of the city had been interviewed. Some officials in city government suspect that this sample is invalid because city records show that 55 percent of the residents live in the central city and 45 percent in the outlying areas. Assuming that the researcher’s sample is random, what is the probability of selecting for interview 74 or fewer people from outlying areas? Based on your answer, should the city government question the researcher regarding the methods used in the survey? Explain.
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