In a recent poll, 45% of survey respondents said that, if they only had one child, they would prefer the child to be a boy. Suppose you conducted a survey of 140 randomly selected students on your campus and find that 76 of them would prefer a boy. Complete parts (a) and (b) below. (a) Use the normal approximation to the binomial to approximate the probabity that, in a random sample of 140 students, at least 76 would prefer a boy, assuming the true percentage is 45%. (b) Does this result contradict the poll? Explain.

In a recent poll, 45% of survey respondents said that, if they only had one child, they would prefer the child to be a boy. Suppose you conducted a survey of 140 randomly selected students on your campus and find that 76 of them would prefer a boy. Complete parts (a) and (b) below. (a) Use the normal approximation to the binomial to approximate the probabity that, in a random sample of 140 students, at least 76 would prefer a boy, assuming the true percentage is 45%. (b) Does this result contradict the poll? Explain.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.3: Binomial Probability

Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...

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