A poll taken this year asked 1026 adults whether they were fans of a particular sport and 53% said they were. Last year, 52% 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 90% 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 90% confident that this sample proportion is within +ME of the true proportion of adults who are fans of the sport. O B. There is a 90% chance that the true proportion of adults who are fans of the sport is within + ME of this sample proportion. O C. In 90% of samples of adults, the proportion who are fans of the sport will be within +ME of the sample proportion. O D. One is 90% ± ME confident that the true proportion of adults who are fans of the sport is equal to this sample proportion. c) If one wanted to be 99% confident instead of 90% confident, would the margin of error be larger or smaller? Click to select your answer(s). MacBook Air 吕口 000 EA F11 E12 F3 F5 F6 F7 F8 F9 F10 %24 & 4 5 6 7 9 R Y U * CO

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.4: The Pythagorean Theorem
Problem 4E: Use theorem 5.4.3 to form a proportion in which TS is a geometric mean. Hint: TVSTSR Exercises 1-6
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A poll taken this year asked 1026 adults whether they were fans of a particular sport and 53% said they were. Last year, 52% 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 90% 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 90% confident that this sample proportion is within + ME of the true proportion of adults who are fans of the sport.
O B. There is a 90% chance that the true proportion of adults who are fans of the sport is within + ME of this sample proportion.
O C. In 90% of samples of adults, the proportion who are fans of the sport will be within + ME of the sample proportion.
O D. One is 90% ± ME confident that the true proportion of adults who are fans of the sport is equal to this sample proportion.
c) If one wanted to be 99% confident instead of 90% confident, would the margin of error be larger or smaller?
?
Click to select your answer(s).
MacBook Air
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Transcribed Image Text:A poll taken this year asked 1026 adults whether they were fans of a particular sport and 53% said they were. Last year, 52% 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 90% 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 90% confident that this sample proportion is within + ME of the true proportion of adults who are fans of the sport. O B. There is a 90% chance that the true proportion of adults who are fans of the sport is within + ME of this sample proportion. O C. In 90% of samples of adults, the proportion who are fans of the sport will be within + ME of the sample proportion. O D. One is 90% ± ME confident that the true proportion of adults who are fans of the sport is equal to this sample proportion. c) If one wanted to be 99% confident instead of 90% confident, would the margin of error be larger or smaller? ? Click to select your answer(s). MacBook Air 吕口 000 EA F7 F8 F9 F10 F11 E12 F3 F5 F6 %24 & 一 %23 4 5 7 8 9 { R Y U
A poll taken this year asked 1026 adults whether they were fans of a particular sport and 53% said they were. Last year, 52% of a similar-size sample had reported being fans of the sport.
Complete parts a through e below.
c) If one wanted to be 99% confident instead of 90% confident, would the margin of error be larger or smaller?
O A. To be more confident, the interval needs to contain the true proportion less often, so the margin of error would be smaller.
O B. To be more confident, the interval needs to contain the true proportion more often, so the margin of error would be larger.
OC. To be more confident, the interval needs to contain the true proportion less often, so the margin of error would be larger.
O D. To be more confident, the interval needs to contain the true proportion more often, so the margin of error would be smaller.
d) Find the margin of error for the poll taken this year if one wants 99% confidence in the estimate of the percent of adults who are fans of the sport.
ME =
(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?
Click to select your answer(s).
MacBook Air
A00 F4
F12
F8
F9
F10
F11
F6
F7
&
一
7
8
9.
R
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Transcribed Image Text:A poll taken this year asked 1026 adults whether they were fans of a particular sport and 53% said they were. Last year, 52% of a similar-size sample had reported being fans of the sport. Complete parts a through e below. c) If one wanted to be 99% confident instead of 90% confident, would the margin of error be larger or smaller? O A. To be more confident, the interval needs to contain the true proportion less often, so the margin of error would be smaller. O B. To be more confident, the interval needs to contain the true proportion more often, so the margin of error would be larger. OC. To be more confident, the interval needs to contain the true proportion less often, so the margin of error would be larger. O D. To be more confident, the interval needs to contain the true proportion more often, so the margin of error would be smaller. d) Find the margin of error for the poll taken this year if one wants 99% confidence in the estimate of the percent of adults who are fans of the sport. ME = (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? Click to select your answer(s). MacBook Air A00 F4 F12 F8 F9 F10 F11 F6 F7 & 一 7 8 9. R Y U P
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