Suppose the proportion of female shoppers in a certain mall is 0. On a specific day a store in the mall took a random sample of 115 shoppers and...

Suppose the proportion of female shoppers in a certain mall is 0.61.

On a specific day a store in the mall took a random sample of 115 shoppers and recorded the proportion of females in the sample.

What is the standard deviation of the sampling distribution? (Use 3 decimal digits)