Answer:
The correct answer is 3.9%
Step-by-step explanation:
P : the probability of listening at work, is 17% or 0.17
Q : the probability of NOT listening at work, is 1 - 0.17, or 83% or 0.83
N : the sample size, is 91
The standard deviation of samples then is
[tex]=\sqrt{\frac{P\times Q}{N}} \\\\=\sqrt{\frac{0.17\times 0.83}{91}}\approx 0.0394\\\\\implies \text{Approximate standard deviation percentage = }\text{standard deviation}\times\text{100}\\=0.00394\times 100\\=3.9\%[/tex]
So, the correct Option is A. 3.9%
