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Researchers are interested in estimating the prevalence of smoking in college campuses. . Suppose the population...

Researchers are interested in estimating the prevalence of smoking in college campuses. . Suppose the population prevalence is 25% and the research team has enrolled 300 current college students in their study,

a. can we approximate with the normal distribution in this hypothetical example? Why or why not?

b. What is the mean number of smokers in this sample? State also its variance.

c. What is the probability of observing at least 100 students in this sample to be smokers?

d. Out of the 300 participants in the study, 100 were confirmed to be smokers. Based on your answer to part c, do you then believe that the 25% value for smoking prevalence is accurate? Justify your answer with statistical reasoning.

math   Statistics-And-Probability   
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