Part: $$ 1 / 5 $$ Part 2 of 5 Find the critical values. Round the answer to three decimal places. For $$ \alpha=0.10 $$, the critical value is 1.282 . For $$ \alpha=0.01 $$, the critical value is 2.326 .

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To find the critical values for a given significance level $$ \alpha $$, we typically refer to the standard normal distribution (Z-distribution) table or use statistical software. The critical values correspond to the points on the Z-distribution that separate the rejection region from the non-rejection region.

From the information provided:

1. For $$ \alpha = 0.10 $$, the critical value is $$ z = 1.282 $$.
2. For $$ \alpha = 0.01 $$, the critical value is $$ z = 2.326 $$.

These values indicate the Z-scores that correspond to the upper tail of the normal distribution for the specified significance levels.

### Summary of Critical Values:
- For $$ \alpha = 0.10 $$: $$ z = 1.282 $$
- For $$ \alpha = 0.01 $$: $$ z = 2.326 $$

Both values are already rounded to three decimal places as requested. If you need further calculations or explanations regarding how these values are derived, please let me know!
The critical values are: - For $$ \alpha = 0.10 $$: $$ z = 1.282 $$ - For $$ \alpha = 0.01 $$: $$ z = 2.326 $$

Part: \( 1 / 5 \) Part 2 of 5 Find the critical values. Round the answer to three decimal places. For \( \alpha=0.10 \), the critical value is 1.282 . For \( \alpha=0.01 \), the critical value is 2.326 .

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