Explain the Logic of Hypothesis Testing
-Suppose you want to test the claim that $\mu

Question

Explain the Logic of Hypothesis Testing
-Suppose you want to test the claim that $\mu < 65.4$. Given a sample size of $\mathrm { n } = 35$ and a level of significance of $\alpha = 0.10$, when should you reject $\mathrm { H } _ { 0 }$ ?
A) Reject $\mathrm { H } _ { 0 }$ if the standardized test statistic is less than -1.28.
B) Reject $\mathrm { H } _ { 0 }$ if the standardized test is less than $- 2.33$.
C) Reject $\mathrm { H } _ { 0 }$ if the standardized test statistic is less than $- 2.575$.
D) Reject $\mathrm { H } _ { 0 }$ if the standardized test statistic is less than $- 1.96$.

Quizplus · Accepted Answer

For a one-tailed test with $\alpha = 0.10$, the critical value from the Z-distribution is approximately -1.28. Therefore, you reject $H_0$ if the test statistic is less than -1.28, indicating the sample mean is significantly lower than the hypothesized mean of 65.4 with a 10% 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