In a survey of 200 employees, 65% agreed that the management of the cafeteria should be changed. If the confidence interval is 95%, the margin of error for this survey is +/- 6.75% and the maximum number of employees who could have agreed is about?

a. 144 b. 140 c. 136

Option A) 144

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 200

Margin of error =

Confidence interval:

Putting values:

Thus, maximum proportion is

Maximum number of employees who could have agreed =

This, approximately maximum 144 employees agreed that the management of the cafeteria should be changed.

Option A) 144

The answers are: in the first one +/- 6.75% and the second one: 144.

Step-by-step explanation:

I just did it on Edmentum.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4