Question

PLEASE HELP! An organization surveyed a random sample of their employees about their new vacation policy. Out of the employees surveyed, 83% rated the vacation policy as "delightful" with a margin of error of ±2% and a confidence interval of 95%.

What does the margin of error imply?

A.It can be concluded, with 81% confidence, that between 93% and 97% of all employees will rate the vacation policy as "delightful."

B.It can be concluded, with 95% confidence, that at least 81% of all employees will rate the vacation policy as "delightful."

C.It can be concluded, with 95% confidence, that between 81% and 85% of all employees will rate the vacation policy as "delightful."

D.It can be concluded, with 81% confidence, that at least 95% of all employees will rate the vacation policy as "delightful."

Answer 1

The answer is C.

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Answer 2

The answer is option C.

Explanation:

Here, according to the given question, margin of error means that the number of people who rated the vacation as 'delightful' ranges between 81% (83-2) and 85% (83+2) of the population at a 95% confidence interval. The range is formed as 81% to 85% as its given that the margin of error is ±2% .

Therefore, only option C is having both the ranges, 81% and 85%. So, option C is the correct answer.

C.It can be concluded, with 95% confidence, that between 81% and 85% of all employees will rate the vacation policy as "delightful."