Explain the Logic of Hypothesis Testing
-Suppose you want to test the claim that $\mu = 3.5$. Given a sample size of $\mathrm { n } = 32$ and a level of significance of $\alpha = 0.01$, when should you reject $\mathrm { H } _ { 0 }$ ?
A) Reject $\mathrm { H } _ { 0 }$ if the standardized test statistic is greater than $2.575$ or less than $- 2.575$.
B) Reject $\mathrm { H } _ { 0 }$ if the standardized test statistic is greater than $2.33$ or less than $- 2.33$.
C) Reject $\mathrm { H } _ { 0 }$ if the standardized test statistic is greater than $1.645$ or less than $- 1.645$
D) Reject $\mathrm { H } _ { 0 }$ if the standardized test statistic is greater than $1.96$ or less than $- 1.96$

Question

Quizplus · Accepted Answer

The correct critical values for a two-tailed test at the $\alpha = 0.01$ significance level are $\pm 2.575$. This is because the tails of the distribution each contain 0.005 of the area under the curve, summing to 0.01, which corresponds to the given level of significance.

Explain the Logic of Hypothesis Testing -Suppose You Want to Test

Explain the Logic of Hypothesis Testing
-Suppose You Want to Test