7. 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. (i) 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. With p unknown and n the number of random people polled. Let xn be the (ii) fraction of the polled people who support the referendum. What is the smallest sample size n in order to have a 90% confidence that x, is within 0.01 of the true value of p?

7. 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. (i) 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. With p unknown and n the number of random people polled. Let xn be the (ii) fraction of the polled people who support the referendum. What is the smallest sample size n in order to have a 90% confidence that x, is within 0.01 of the true value of p?

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.2: Probability

Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...

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The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the conditional probability of the event E, getting a six, given that the event F, getting an even number, has occurred is P(EF)=___________.
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