Suppose your friend Joanna is running for class president. The proportion of individuals in a population of students who will vote for Joanna on election day is 55%. You plan to conduct a poll of size n and report X, the number of individuals in your poll who plan to vote for Joanna. You also plan to compute p^ = X/n, the proportion of individuals in your poll who plan to vote for Joanna. a) Explain why X is a binomial random variable. What are the values of the binomial parameters n and p. b) In a poll of size 120, compute the probability that p^ is greater than or equal to 0.5 using the normal approximation and continuity correction. c) In a poll of size 220, compute the probability that p^ is greater than or equal to 0.5 using the normal approximation and continuity correction.
Suppose your friend Joanna is running for class president. The proportion of individuals in a population of students who will vote for Joanna on election day is 55%. You plan to conduct a poll of size n and report X, the number of individuals in your poll who plan to vote for Joanna. You also plan to compute p^ = X/n, the proportion of individuals in your poll who plan to vote for Joanna.
a) Explain why X is a binomial random variable. What are the values of the binomial
parameters n and p.
b) In a poll of size 120, compute the
the normal approximation and continuity correction.
c) In a poll of size 220, compute the probability that p^ is greater than or equal to 0.5 using
the normal approximation and continuity correction.
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