Suppose you want to test the claim that $\mu = 3.5 .$ Given a sample size of n=48 and a level of significance of $\alpha$=0.01 , when should you reject H₀ ? A) Reject H₀ if the standardized test statistic is greater than 2.575 or less than -2.575 . B) Reject H₀ if the standardized test statistic is greater than 2.33 or less than -2.33 . C) Reject H₀ if the standardized test statistic is greater than 1.96 or less than -1.96 D) Reject H₀ if the standardized test statistic is greater than 1.645 or less than -1.645

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Quizplus · Accepted Answer

The correct rejection rule at a significance level of $\alpha = 0.01$ for a two-tailed test is to reject the null hypothesis if the standardized test statistic is greater than the critical value or less than the negative of the critical value associated with $\alpha = 0.01$. The critical values for a two-tailed test at this significance level are typically around ±2.575, which corresponds to the critical values for the 99% confidence level (or the 1% significance level in a two-tailed test).

Suppose You Want to Test the Claim That μ=3.5.\mu = 3.5 .μ=3.5.

Suppose You Want to Test the Claim That $\mu = 3.5 .$