In: Statistics and Probability
The Human Resources Department of a company conducts a survey to
determine if a new medical insurance plan is viewed favorably. Out
of 200 employees surveyed 80 said they liked the change.
a. Calculate a 95% confidence interval for the population
proportion who view the change favorably.
b. What is the proper interpretation of the interval constructed in
Part a?
i. There is a 95% chance that the population proportion lies within the constructed interval.
ii. If 20 similar confidence intervals were constructed on average 19 of these would contain the population proportion.
iii. The interval defines the values that are not plausible for the population proprtion.