Answer:
[tex]\bf \sigma = 0.0351[/tex]
Step-by-step explanation:
68–95–99.7 Rule : It also known as the empirical rule and it is a shorthand used to calculate the percentage of values that lie within a range around the mean in a normal distribution with the width of several standard deviation
μ = π = sample proportion
= 44 %
= 0.44
Population standard deviation proportion,
[tex]\sigma = \sqrt{\frac{\pi \times (1 - \pi)}{n}}\\\\\implies \sigma= \sqrt{\frac{0.44 \times (1 - 0.44)}{200}}\\\\\implies\bf \sigma = 0.0351[/tex]