You wish to test the following claim \( \left(H_{a}\right) \) at a significance level of \( \alpha=0.005 \). \[ \begin{array}{l}H_{0}: p=0.65 \\ H_{a}: p \neq 0.65\end{array} \] You obtain a sample of size \( n=321 \) in which there are 183 successful observations. For this test, you should Nor use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value \( = \pm 2.576 \) What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = -3.002 The test statistic is... in the critical region not in the critical region This test statistic leads to a decision to... reject the null faccept the null fail to reject the null
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