Question

Asked Oct 26, 2019

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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 130 randomly selected students on your campus and find that 72

of them would prefer a boy.

of them would prefer a boy.

(a) Use the normal approximation to the binomial to approximate the probability that, in a random sample of 130 students, at least 72

would prefer a boy, assuming the true percentage is 45%.

would prefer a boy, assuming the true percentage is 45%.

(b) Does this result contradict the poll? Explain.

Step 1

Given data

p= 0.45

n =130

Checking the validity of normal approximation

Step 2

b)

considering the significance level 0.05

probability = 0.00868 < 0.05...

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