A Gallup poll of 1236 adults showed that 12% of the respondents believe that it is bad luck to walk under a ladder. Consider the probability that among 30 randomly selected people from the 1236 who were polled, there are at least 2 who have that belief. Given that the subjects surveyed were selected without replacement, the events are not independent. Can the probability be found by using the binomial probability formula? Why or why not? Choose the correct answer below. A. Yes. There are a fixed number of selections that are independent, can be classified into two categories, and the probability of success remains the same. B. No. The selections are not independent, and the 5% guideline is not met. C. Yes. Although the selections are not independent, they can be treated as being independent by applying the 5% guideline. O D. No. The selections are not independent.

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A Gallup poll of 1236 adults showed that 12% of the respondents believe that it is bad luck to walk under a
ladder. Consider the probability that among 30 randomly selected people from the 1236 who were polled,
there are at least 2 who have that belief. Given that the subjects surveyed were selected without
replacement, the events are not independent. Can the probability be found by using the binomial probability
formula? Why or why not?
Choose the correct answer below.
O A. Yes. There are a fixed number of selections that are independent, can be classified into two
categories, and the probability of success remains the same.
B. No. The selections are not independent, and the 5% guideline is not met.
C. Yes. Although the selections are not independent, they can be treated as being independent by
applying the 5% guideline.
O D. No. The selections are not independent.
Transcribed Image Text:A Gallup poll of 1236 adults showed that 12% of the respondents believe that it is bad luck to walk under a ladder. Consider the probability that among 30 randomly selected people from the 1236 who were polled, there are at least 2 who have that belief. Given that the subjects surveyed were selected without replacement, the events are not independent. Can the probability be found by using the binomial probability formula? Why or why not? Choose the correct answer below. O A. Yes. There are a fixed number of selections that are independent, can be classified into two categories, and the probability of success remains the same. B. No. The selections are not independent, and the 5% guideline is not met. C. Yes. Although the selections are not independent, they can be treated as being independent by applying the 5% guideline. O D. No. The selections are not independent.
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