In a random sample of 500 items where 89 were found to be defective, the null hypothesis that \( 15 \% \) of the items in the population are defective produced \( Z_{\text {STAT }}=+1.75 \). Suppose someone is testing the null hypothesis \( H_{0}: \pi=0.15 \) against the two-tail alternative hypothesis \( H_{1}: \pi \neq 0.15 \) and they choose the level of significance \( \alpha=0.01 \). What is their statistical decision?
What is the statistical decision? Determine the p-value.
The p-value for the given \( \mathrm{Z}_{\text {STAT }} \) is p-value \( = \) \( \square \) .
(Type an integer or a decimal. Round to three decimal places as needed.)
Since the p-value, is \( \square \) \( \alpha=0.01 \), \( \square \) \( \mathrm{H}_{0} \).