(See Steps) Determine the critical region and critical values for z that would be used to test the null hypothesis at the given level of significance, as


Question: Determine the critical region and critical values for \(z\) that would be used to test the null hypothesis at the given level of significance, as described in each of the following:

\((A)\)

\(H_{0}: u \geq 53\) and \(H_{2}: \mu<53, \quad \alpha=0.01\)

(B) \(H_{0}: \mu \leq 32\) and \(H_{=}: \mu>32, \quad \alpha=0.05\)

(C) \(H_{\mathrm{n}}: \mu=24\) and \(N_{\pm}: \mu=24, \quad \alpha=0.10\)

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