In a survey of 3,619 adults concerning complaints about restaurants, 1,457 complained about dirty or ill-equipped bathrooms and 1,210 complained about loud or distracting diners at other tables. Complete parts (a) through (c) bel a. Construct a 95% confidence interval estimate of the population proportion of adults who complained about dirty or ill-equipped bathrooms. ≤Ã≤ (Round to four decimal places as needed.) b. Construct a 95% confidence interval estimate of the population proportion of adults who complained about loud or distracting diners at other tables. (Round to four decimal places as needed.) c. How would the manager of a chain of restaurants use the results of (a) and (b)? Which of the following is the best summary of the information derived from (a)? SAS

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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In a survey of 3,619 adults concerning complaints about restaurants, 1,457 complained about dirty or ill-equipped
bathrooms and 1,210 complained about loud or distracting diners at other tables. Complete parts (a) through (c) below.
a. Construct a 95% confidence interval estimate of the population proportion of adults who complained about dirty
or ill-equipped bathrooms.
SIS (Round to four decimal places as needed.)
b. Construct a 95% confidence interval estimate of the population proportion of adults who complained about loud
or distracting diners at other tables.
(Round to four decimal places as needed.)
SIS
c. How would the manager of a chain of restaurants use the results of (a) and (b)?
Which of the following is the best summary of the information derived from (a)?
O A. The manager can be 95% confident that the sample proportion of all adults who complained about dirty
or ill-equipped bathrooms lies within the interval in (a).
OB. There is a 95% probability that the population proportion of all adults who complained about dirty
or ill-equipped bathrooms lies within the interval in (a).
O C. The manager can be 95% confident that the population proportion of all adults who complained about dirty
or ill-equipped bathrooms lies within the interval in (a).
O D. There is a 95% probability that the sample proportion of all adults who complained about dirty
or ill-equipped bathrooms lies within the interval in (a).
Transcribed Image Text:In a survey of 3,619 adults concerning complaints about restaurants, 1,457 complained about dirty or ill-equipped bathrooms and 1,210 complained about loud or distracting diners at other tables. Complete parts (a) through (c) below. a. Construct a 95% confidence interval estimate of the population proportion of adults who complained about dirty or ill-equipped bathrooms. SIS (Round to four decimal places as needed.) b. Construct a 95% confidence interval estimate of the population proportion of adults who complained about loud or distracting diners at other tables. (Round to four decimal places as needed.) SIS c. How would the manager of a chain of restaurants use the results of (a) and (b)? Which of the following is the best summary of the information derived from (a)? O A. The manager can be 95% confident that the sample proportion of all adults who complained about dirty or ill-equipped bathrooms lies within the interval in (a). OB. There is a 95% probability that the population proportion of all adults who complained about dirty or ill-equipped bathrooms lies within the interval in (a). O C. The manager can be 95% confident that the population proportion of all adults who complained about dirty or ill-equipped bathrooms lies within the interval in (a). O D. There is a 95% probability that the sample proportion of all adults who complained about dirty or ill-equipped bathrooms lies within the interval in (a).
Which of the following is the best summary of the information derived from (b)?
O A. The manager can be 95% confident that the population proportion of all adults who complained about loud
or distracting diners at other tables lies within the interval in (b).
O B. There is a 95% probability that the sample proportion of all adults who complained about loud or distracting
diners at other tables lies within the interval in (b).
OC. There is a 95% probability that the population proportion of all adults who complained about loud or
distracting diners at other tables lies within the interval in (b).
OD. The manager can be 95% confident that the sample proportion of all adults who complained about loud or
distracting diners at other tables lies within the interval in (b).
Transcribed Image Text:Which of the following is the best summary of the information derived from (b)? O A. The manager can be 95% confident that the population proportion of all adults who complained about loud or distracting diners at other tables lies within the interval in (b). O B. There is a 95% probability that the sample proportion of all adults who complained about loud or distracting diners at other tables lies within the interval in (b). OC. There is a 95% probability that the population proportion of all adults who complained about loud or distracting diners at other tables lies within the interval in (b). OD. The manager can be 95% confident that the sample proportion of all adults who complained about loud or distracting diners at other tables lies within the interval in (b).
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