Question

In: Statistics and Probability

The Human Resources Department of a company conducts a survey to determine if a new medical...

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.

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