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A poll taken this year asked 1023 adults whether they were fans of a particular sport and 66% said they were. Last year, 65% of a similar-size sample had reported being fans of the sport. Complete parts a through e below. a) Find the margin of error for the poll taken this year if one wants 95% confidence in the estimate of the percentage of adults who are fans of the sport. (Round to three decimal places as needed.) ME= b) Explain what that margin of error means. OA. One is 95% ± ME confident that the true proportion of adults who are fans of the sport is equal to this sample proportion. OB. There is a 95% chance that the true proportion of adults who are fans of the sport is within ±ME of this sample proportion. OC. One is 95% confident that this sample proportion is within ±ME of the true proportion of adults who are fans of the sport. OD. In 95% of samples of adults; the proportion who are fans of the sport will be within ±ME of the sample proportion. ar bo lorner or smaller?

A poll taken this year asked 1023 adults whether they were fans of a particular sport and 66% said they were. Last year, 65% of a similar-size sample had reported being fans of the sport. Complete parts a through e below. a) Find the margin of error for the poll taken this year if one wants 95% confidence in the estimate of the percentage of adults who are fans of the sport. (Round to three decimal places as needed.) ME= b) Explain what that margin of error means. OA. One is 95% ± ME confident that the true proportion of adults who are fans of the sport is equal to this sample proportion. OB. There is a 95% chance that the true proportion of adults who are fans of the sport is within ±ME of this sample proportion. OC. One is 95% confident that this sample proportion is within ±ME of the true proportion of adults who are fans of the sport. OD. In 95% of samples of adults; the proportion who are fans of the sport will be within ±ME of the sample proportion. ar bo lorner or smaller?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A poll taken this year asked 1023 adults whether they were fans of a particular sport and 66% said they were. Last year, 65% of a similar-size sample had reported being fans of the sport. Complete parts a through e below. a) Find the margin of error for the poll taken this year if one wants 95% confidence in the estimate of the percentage of adults who are fans of the sport. ME= (Round to three decimal places as needed.) b) Explain what that margin of error means. O A. One is 95% ± ME confident that the true proportion of adults who are fans of the sport is equal to this sample proportion. OB. There is a 95% chance that the true proportion of adults who are fans of the sport is within ±ME of this sample proportion. O C. One is 95% confident that this sample proportion is within ± ME of the true proportion of adults who are fans of the sport. O D. In 95% of samples of adults, the proportion who are fans of the sport will be within ± ME of the sample proportion. c) If one wanted to be 85% confident instead of 95% confident, would the margin of error be larger or smaller? O A. To be less confident, the interval needs to contain the true proportion more often, so the margin of error would be smaller. OB. To be less confident, the interval needs to contain the true proportion less often, so the margin of error would be smaller. O C. To be less confident, the interval needs to contain the true proportion less often, so the margin of error would be larger. O D. To be less confident, the interval needs to contain the true proportion more often, so the margin of error would be larger. d) Find the margin of error for the poll taken this year if one wants 85% confidence in the estimate of the percent of adults who are fans of the sport. (Round to three decimal places as needed.) e) In general, if all other aspects of the situation remain the same, will smaller margins of error produce greater or less confidence in the interval? ME= O Less confidence O Greater confidence Next
Transcribed Image Text:A poll taken this year asked 1023 adults whether they were fans of a particular sport and 66% said they were. Last year, 65% of a similar-size sample had reported being fans of the sport. Complete parts a through e below. a) Find the margin of error for the poll taken this year if one wants 95% confidence in the estimate of the percentage of adults who are fans of the sport. ME= (Round to three decimal places as needed.) b) Explain what that margin of error means. O A. One is 95% ± ME confident that the true proportion of adults who are fans of the sport is equal to this sample proportion. OB. There is a 95% chance that the true proportion of adults who are fans of the sport is within ±ME of this sample proportion. O C. One is 95% confident that this sample proportion is within ± ME of the true proportion of adults who are fans of the sport. O D. In 95% of samples of adults, the proportion who are fans of the sport will be within ± ME of the sample proportion. c) If one wanted to be 85% confident instead of 95% confident, would the margin of error be larger or smaller? O A. To be less confident, the interval needs to contain the true proportion more often, so the margin of error would be smaller. OB. To be less confident, the interval needs to contain the true proportion less often, so the margin of error would be smaller. O C. To be less confident, the interval needs to contain the true proportion less often, so the margin of error would be larger. O D. To be less confident, the interval needs to contain the true proportion more often, so the margin of error would be larger. d) Find the margin of error for the poll taken this year if one wants 85% confidence in the estimate of the percent of adults who are fans of the sport. (Round to three decimal places as needed.) e) In general, if all other aspects of the situation remain the same, will smaller margins of error produce greater or less confidence in the interval? ME= O Less confidence O Greater confidence Next
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