A political poll is taken to determine the fraction p of the population that would support a referendum requiring all citizens to be fluent in the language of probability and statistics. (a) Assume p = 0.5. Use the central limit theorem to estimate the probability that in a poll of 25 people, at least 14 people support the referendum. Your answer to this problem should be a decimal. (b) With p unknown and n the number of random people polled, let Xn be the fraction of the polled people who support the referendum. What is the smallest sample size n in order to have a 90% confidence that Xn is within 0.01 of the true value of p? Your answer to this problem should be an integer.

A political poll is taken to determine the fraction p of the population that would support a referendum requiring all citizens to be fluent in the language of probability and statistics. (a) Assume p = 0.5. Use the central limit theorem to estimate the probability that in a poll of 25 people, at least 14 people support the referendum. Your answer to this problem should be a decimal. (b) With p unknown and n the number of random people polled, let Xn be the fraction of the polled people who support the referendum. What is the smallest sample size n in order to have a 90% confidence that Xn is within 0.01 of the true value of p? Your answer to this problem should be an integer.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 68E

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