K In a survey of 3,971 adults concerning complaints about restaurants, 1,531 complained about dirty or ill-equipped bathrooms and 1,175 complained about loud or distracting diner 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. 0.3748 5x5 0.4052 (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. 0.2857 Sits 0.3143 (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)? O A. 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 B. 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 C. There is a 95% probability that the sample proportion of all adults who complained about dirty or il-equipped bathrooms lies within the interval in (a). ( D. 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). Which of the following is the best summary of the Information derived from (b)? A. 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). 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), ()C. The manager can be 95%% confident that the population proportion of all aduits who complained about loud or distracting diners at other tables tes within the interval in (b)