To find the p-value for a left-tailed test with a test statistic of \( z = -1.25 \), you can use the standard normal distribution (Z-distribution).
- You can look up the value of \( z = -1.25 \) in a standard normal distribution table, or you can use a calculator or statistical software that provides cumulative probabilities for the standard normal distribution.
Using a standard normal distribution table or calculator:
- The cumulative probability (p-value) associated with \( z = -1.25 \) is approximately \( 0.1056 \).
Therefore, rounding to the nearest thousandths, the p-value is:
\[ \text{p-value} \approx 0.106 \]
So, the final answer is \( \mathbf{0.106} \).