A noted psychic was tested for extrasensory perception. The psychic was presented with 200 cards face down and asked to determine if each card were one of five symbols: a star, a cross, a circle, a square, or three wavy lines. The psychic was correct in 50 cases. Let p represent the probability that the psychic correctly identifies the symbol on the card in a random trial. Assume the 200 trials can be treated as a simple random sample from the population of all guesses the psychic would make in his lifetime. How large a sample n would you need to estimate p with a margin of error of 0.01 with 95% confidence? Use the hypothesized value p = 0.20 as the value for p". А) п%3D 32 В) С) п%3 %3D = 1537 = 6147 D) n= 9604

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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A noted psychic was tested for extrasensory perception. The psychic was presented with
200 cards face down and asked to determine if each card were one of five symbols: a
star, a cross, a circle, a square, or three wavy lines. The psychic was correct in 50 cases.
Let p represent the probability that the psychic correctly identifies the symbol on the
card in a random trial. Assume the 200 trials can be treated as a simple random sample
from the population of all guesses the psychic would make in his lifetime. How large a
sample n would you need to estimate p with a margin of error of 0.01 with 95%
confidence? Use the hypothesized value p= 0.20 as the value for p'.
A) n=32
В)
С) п36147
D) п%3D9604
n =
= 1537
Transcribed Image Text:A noted psychic was tested for extrasensory perception. The psychic was presented with 200 cards face down and asked to determine if each card were one of five symbols: a star, a cross, a circle, a square, or three wavy lines. The psychic was correct in 50 cases. Let p represent the probability that the psychic correctly identifies the symbol on the card in a random trial. Assume the 200 trials can be treated as a simple random sample from the population of all guesses the psychic would make in his lifetime. How large a sample n would you need to estimate p with a margin of error of 0.01 with 95% confidence? Use the hypothesized value p= 0.20 as the value for p'. A) n=32 В) С) п36147 D) п%3D9604 n = = 1537
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