Final answer:
To determine the p-value for a right-tailed test with a z-value of 0.52, subtract the left-tail probability corresponding to z = 0.52 from 1. The p-value is 1 - 0.6985, which equals 0.3015, matching answer choice D.
Step-by-step explanation:
To calculate the p-value for a right-tailed test with a test statistic of z = 0.52, we look up the area to the right of z = 0.52 in a standard normal distribution table or use statistical software. However, the standard normal distribution table shows probabilities to the left by default. Therefore, we have to subtract the area to the left of our z-value from 1 to find the area to the right (the p-value for a right-tailed test).
Looking up a z-value of 0.52, we find that it corresponds to a left-tail probability of approximately 0.6985. Thus, the p-value can be calculated as 1 - 0.6985, which gives us 0.3015. The p-value in this scenario is 0.3015, which matches answer choice D.