Question

In a survey of 3,740 adults concerning complaints about​ restaurants,1,474 complained about dirty or​ ill-equipped bathrooms and 1,189 complained about loud or distracting diners at other tables. Complete parts ​(a) through​ (c) below.

a. construct a 90% confidence interval estimate of the population of adults who complained about dirty or ill-equipped bathrooms. (round to four decimal places as needed)

b. construct a 90% confidence interval estimate of the population proportion of adults who complained about loud or distracting diners at the 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)?

What is the best summary of the information derived from a

What is the best summary of the information derived from b

Answer 1

(A) Using TI 84 calculator

Press STAT then TESTS and select 1-PropZtest

x = 1474

n = 3740

c-level = 0.90

Press Calculate, we get

90% confidence interval =(0.3810, 0.4073)

(B) Using TI 84 calculator

Press STAT then TESTS and select 1-PropZtest

x = 1189

n = 3740

c-level = 0.90

Press Calculate, we get

90% confidence interval =(0.3054, 0.3304)

(C) Best summary of the information derived from a is "We are 90% confident that the population proportion of all adults who complained about dirty or ill-equipped bathrooms lies within the interval in (a)"

Best summary of the information derived from b is "We are 90% confident that the population proportion of all adults who complained about loud or distracting diners at other tables lies within the interval in (b)"