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Boys Are Preferred In a Gallup poll, 37% of survey respondents said that, if they only
Chapter 7, Problem 27(choose chapter or problem)
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