Given the following process control data for a quality attribute

$($

three samples of size

$4$

$0$

$0$

$$each

$)$

:

If the process proportion of defectives is unknown, what is the alpha risk

$($

probability of Type I error

$)$

$$for upper and lower control limits of

$.$

$1$

$1$

$5$

$$and

$.$

$0$

$8$

$5$

$$respectively$?$

$.$

$1$

$3$

$$and

$.$

$0$

$7$

$?$

$1$

$4$

$5$

$$and

$.$

$0$

$5$

$5$

$?$

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