Multiple Choice Please select the best answer and click subm

Multiple Choice: Please select the best answer and click \"submit.\" Suppose a study estimated that 58% of the residents of a town (with an error range of plusminus 8 percentage points at 95% confidence) favor expanding the park and recreation department. Which of the following percentages of the town\'s residents may favor expanding the park and recreation department? A. 82% B. 72% c. 52% d. 92%

Solution

How frequently the observed interval contains the parameter is determined by theconfidence level. An interval estimate specifies a range within which the parameter is estimated to lie. A confidence interval can be used to describe how reliable survey results are. Here, there is a 95 % confidence that 58 % ( ± 8 %) of the town’s residents favor expanding the park and recreation department. Thus, there is a 95 % confidence that the percentage of the town’s residents favoring expanding the park and recreation department is between 58 -8 = 50 % and 58 + 8 = 66 %. Thus, the answer lies in the interval ( 50 %, 66 %). There being only one option, i.e. 52 % in this interval, the answer is 52 %. (C)