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The following is a set of hypotheses, some information from one or more samples, and a standard error from a randomization distribution.$\newline$Test $H_{0}: p=0.28$ vs $H_{a}: p<0.28$ when the sample has $n=900$, and $\hat{p}=0.226$ with $S E=0.01$.$\newline$Find the value of the standardized $z$-test statistic.$\newline$Round your answer to two decimal places.$\newline$$$z=$$