You are performing a right-tailed test with test statistic $z=2.475$, find the p-value accurate to 4 decimal places. \[ \text { p-value }= \]

Step 1 ：We are given a right-tailed test with test statistic $z=2.475$ and we are asked to find the p-value accurate to 4 decimal places.

Step 2 ：The p-value for a right-tailed test is calculated as 1 minus the cumulative distribution function (CDF) of the test statistic.

Step 3 ：In this case, the test statistic is a z-score, so we will use the CDF of the standard normal distribution.

Step 4 ：The CDF gives the probability that a random variable is less than or equal to a certain value.

Step 5 ：Therefore, 1 minus the CDF will give the probability that a random variable is greater than a certain value, which is the definition of a right-tailed test.

Step 6 ：By calculating, we find that the p-value is approximately 0.0066618087919827484.

Step 7 ：Rounding this to four decimal places, we get 0.0067.

Step 8 ：Final Answer: The p-value for a right-tailed test with test statistic $z=2.475$ is $oxed{0.0067}$.