You want to determine the lower control line for a p$-$chart for quality control purposes. You take several samples of a size of $50$ items in your production process. From the samples, you determine the fraction defective is $0\mathrm{.}006$ and the standard deviation is $0\mathrm{.}001.$ If the desired confidence level is $99\mathrm{.}7$ percent, which of the following is the resulting LCL value for the line?

Multiple Choice

$0\mathrm{.}003$

None of these choices are correct.

$0\mathrm{.}004$

$0\mathrm{.}002$

$0\mathrm{.}0$