te Ch 7.3 Review HW Part 1 of 2 Find the critical value(s) and rejection region(s) for the indicated $\mathrm{t}$-test, level of significance $\alpha$, and sample size $\mathrm{n}$. Left-tailed test, $\alpha=0.10, n=13$ Click the icon to view the t-distribution table. The critical value(s) is/are $\square$ (Round to the nearest thousandth as needed. Use a comma to separate answers as needed.)

Step 1 ：Given a left-tailed t-test with a level of significance of \( \alpha = 0.10 \) and a sample size of \( n = 13 \).

Step 2 ：The degrees of freedom is calculated as the sample size minus 1, which is \( 13 - 1 = 12 \).

Step 3 ：Look up the t-value associated with the given level of significance and degrees of freedom in a t-distribution table.

Step 4 ：The critical value for this test is approximately -1.356. This is the t-value below which we would reject the null hypothesis.

Step 5 ：Final Answer: The critical value is \( \boxed{-1.356} \).