Based on a Saint Index survey, when 1000 adults were asked to identify the most

Question

Based on a Saint Index survey, when 1000 adults were asked to identify the most unpopular projects for their hometown, 54% included Wal-Mart among their choices. Consider the probability that among 30 different adults randomly selected from the 1000 who were surveyed, there are at least 18 who include Wal-Mart. Given that the subjects surveyed were selected without replacement, are the 30 selections independent? Can they be treated as being independent? Can the probability be found by using the binomial probability formula? Explain. (3 points total)

* responses should be at least 100 words*

Explanation / Answer

Solution:

Yes. We can find the probabilities using 5% guideline for cumbersome calculations; here the sample size is 30 is no more than 5% of the size of the population is 1000, so these events are independent. Here only 30 people are randomly selected from the group of 1000 which are less than 5%.

Since 30 adults from 1000 means 3% and from the 5% Guideline for Cumbersome calculations, given above, if the sample size is no more than 5% of the size of population, we can treat the selection as being independent and 3% <5%. So they can be treated as independent.

We can use the binomial probability formula to calculate the probability.

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