Question

If 17% of the listeners of a radio station listen to it while they are at work, what is the approximate standard deviation of the sampling distribution of the proportion for samples of size 91?
A. 7.8%
B. 3.9%
C. 1.8%
D. 0.4%

Answer 1

Use the formula

\[\Large \sqrt{\frac{p(1-p)}{n}}\]

Answer 2

In this case,

p = 0.17
n = 91

Answer 3

ok i did is D?

Answer 4

what result did you get?

Answer 5

numeric result

Answer 6

it was 0.039and bunch of other numbers

Answer 7

convert that to a percentage (multiply the result by 100)

Answer 8

ex: 0.17 = 0.17*(100%) = 17%

Answer 9

ok so it would be 3.9377% and the closest answers is 4% so D? :)

Answer 10

read D again carefully

Answer 11

Oh wow im an idiot sorry its B right?

Answer 12

yes B

Answer 13

thank you so much :D

Answer 14

np