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?

Select one:

a $.0\mathrm{.}003$

b $.0\mathrm{.}004$

c $.0\mathrm{.}002$

d $.$ ?None of these

e $.0\mathrm{.}0$