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Travel to Outer Space A CBS News/New York Times poll found that 329 out of 763 randomly selected adults said they would travel to outer space in their lifetime, given the chance. Estimate the true proportion of adults who would like to travel to outer space with 97% accuracy. Round your answers to at least three decimal places.

Travel to Outer Space A CBS News/New York Times poll found that 329 out of 763 randomly selected adults said they would travel to outer space in their lifetime, given the chance. Estimate the true proportion of adults who would like to travel to outer space with 97% accuracy. Round your answers to at least three decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 42PFA
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Travel to Outer Space A CBS News/New York Times poll found that 329 out of 763 randomly selected adults said they would travel to outer space in their lifetime, given the chance. Estimate the true proportion of adults who would like to travel to outer space with 97% accuracy. Round your answers to at least three decimal places. <p<
Transcribed Image Text:Travel to Outer Space A CBS News/New York Times poll found that 329 out of 763 randomly selected adults said they would travel to outer space in their lifetime, given the chance. Estimate the true proportion of adults who would like to travel to outer space with 97% accuracy. Round your answers to at least three decimal places. <p<
Sample Question Travel to Outer Space A CBS News/New York Times poll found that 329 out of 763 randomly selected adults said they would travel to outer space in their lifetime, given the chance. Estimate the true proportion of adults who would like to travel to outer space with 92% accuracy. Round your answers to at least three decimal places. Explanation Formula for a Specific Confidence Interval for a Proportion M pq pg P-²α/² √ <p<p +²a/2\ n n when n p and nq are each greater than or equal to 5. Since a 1-0.92-0.08, Za/2=1.75. Find and . 329 p= = n 763 = 0.431 q=1-p=1-0.431 = 0.569 Calculate the confidence interval. Za/2 pq n (0.431) (0.569) 0.431 1.75 <p<0.431 +1.75 763 0.431 0.031 <p<0.431+0.031 0.400<p<0.462 Hence, we can be 92% confident that the proportion of adults who would go into outer space is between 40.0% and 46.2%, based on a sample of 763 people. pq n (0.431) (0.569) 763 <p<p +²a/2
Transcribed Image Text:Sample Question Travel to Outer Space A CBS News/New York Times poll found that 329 out of 763 randomly selected adults said they would travel to outer space in their lifetime, given the chance. Estimate the true proportion of adults who would like to travel to outer space with 92% accuracy. Round your answers to at least three decimal places. Explanation Formula for a Specific Confidence Interval for a Proportion M pq pg P-²α/² √ <p<p +²a/2\ n n when n p and nq are each greater than or equal to 5. Since a 1-0.92-0.08, Za/2=1.75. Find and . 329 p= = n 763 = 0.431 q=1-p=1-0.431 = 0.569 Calculate the confidence interval. Za/2 pq n (0.431) (0.569) 0.431 1.75 <p<0.431 +1.75 763 0.431 0.031 <p<0.431+0.031 0.400<p<0.462 Hence, we can be 92% confident that the proportion of adults who would go into outer space is between 40.0% and 46.2%, based on a sample of 763 people. pq n (0.431) (0.569) 763 <p<p +²a/2
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