Boys Are Preferred In a Gallup poll, 37% of survey respondents said that, if they only

Chapter 7, Problem 27

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QUESTION:

Boys Are Preferred In a Gallup poll, 37% of survey respondents said that, if they only had one child, they would prefer the child to be a boy. You conduct a survey of 150 randomly selected students on your campus and find that 75 of them would prefer a boy. (a) Approximate the probability that, in a random sample of 150 students, at least 75 would prefer a boy, assuming the true percentage is 37%. (b) Does this result contradict the Gallup poll? Explain.

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QUESTION:

Boys Are Preferred In a Gallup poll, 37% of survey respondents said that, if they only had one child, they would prefer the child to be a boy. You conduct a survey of 150 randomly selected students on your campus and find that 75 of them would prefer a boy. (a) Approximate the probability that, in a random sample of 150 students, at least 75 would prefer a boy, assuming the true percentage is 37%. (b) Does this result contradict the Gallup poll? Explain.

ANSWER:

Step 1 of 2

Given, Boys Are Preferred In a Gallup poll, 37% of survey respondents said that, if they only had one child, they would prefer the child to be a boy.

a) Given,  , q = 1 - p = 0.63 and n = 150

            We know that

                 And

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