2. Consider the hypothesis test for proportion $H_0: p = 0.4$ $H_1: p \neq 0.4$ at the $\alpha = 0.01$ level of significance. A sample is taken with $n = 1000$ and $x = 420$. (a) Compute the test statistic. (b) Determine the critical region using the classical approach (c) Determine the $p$-value of the test statistic (d) State the conclusion of the hypothesis test.
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