Assume that the significance level is $\alpha=0.01$. Use the given information to find the critical value(s).
The test statistic of $z=-0.77$ is obtained when testing the claim that $p< 0.7$.
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The critical value(s) is/are
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
Final Answer: The critical value(s) is/are \(\boxed{-2.33}\).
Step 1 :Assume that the significance level is \(\alpha=0.01\). Use the given information to find the critical value(s).
Step 2 :The test statistic of \(z=-0.77\) is obtained when testing the claim that \(p<0.7\).
Step 3 :The question is asking for the critical value(s) for a significance level of \(\alpha=0.01\) for a one-tailed test (since the claim is that \(p<0.7\)). The critical value is the z-score that corresponds to the given significance level in the standard normal distribution. Since this is a one-tailed test and the claim is that \(p<0.7\), we are looking for the z-score that corresponds to the area to the left under the standard normal curve.
Step 4 :\(\alpha = 0.01\)
Step 5 :critical_value = -2.3263478740408408
Step 6 :The critical value for a significance level of \(\alpha=0.01\) for a one-tailed test is approximately -2.33. This is the z-score that corresponds to the given significance level in the standard normal distribution.
Step 7 :Final Answer: The critical value(s) is/are \(\boxed{-2.33}\).