$($Ch$9)$True or False? A new software called Verify$-1$ tracks a shopper's record of bringing back items. The historical return rate for merchandise at department stores is $13\mathrm{.}0$ percent. At one department store, after the new software is implemented to crack down on "serial exchangers", there are $22$ returns in a sample of $250$ purchases. At $a=0\mathrm{.}01,$ we should NOT reject the null hypothesis$\_$that the return rate in this store remains $0\mathrm{.}13$ or above. $($you will use one of the following $z$ critical values: $2\mathrm{.}326$ for a right$-$tailed test, $+-2\mathrm{.}576$ for a two$-$tailed test, $-2\mathrm{.}326$ for a left$-$tailed test$)$

Select one:

True

False