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Researchers are interested in estimating the prevalence of maternal smoking habits while pregnant. There are countless advertisements warning such behavior, and recent statistics claim the prevalence of such behavior is quite low, at only 5%. Suppose the research team is planning a study to promote further intervention to decrease what they believe is a rising prevalence of the behavior. Suppose they sample 107 pregnant mothers in their third trimester and determine that 12 mothers have smoked at least once during their pregnancy.
A) Can the researchers carry out their analysis assuming an approximation to the normal distribution is acceptable?
B) Calculate the probability of observing the results that were witnessed in the sample.
C) Determine the mean and standard deviation for the distribution under the assumptions made in part A.
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