You are performing a left-tailed test with test statistic $z=-0.67$, find the $\mathrm{p}$-value to 4 decimal places

Step 1 ：We are given a left-tailed test with test statistic \(z=-0.67\).

Step 2 ：The p-value in a left-tailed test is the probability that a random variable is less than the test statistic.

Step 3 ：In this case, we need to find the probability that a standard normal random variable is less than -0.67.

Step 4 ：We can use the cumulative distribution function (CDF) of the standard normal distribution to find this probability.

Step 5 ：The CDF at a point x gives the probability that a standard normal random variable is less than or equal to x.

Step 6 ：Using the CDF, we find that the p-value is approximately 0.25142889509531013.

Step 7 ：Rounding to 4 decimal places, the final answer is \(\boxed{0.2514}\).