Final answer:
The question asks for the probability that a new sample of 315 is less than 6.3%. To calculate this, one would need to know the mean, standard deviation, and cumulative frequency of the particular value in the sampling distribution. Without this specific information, it is not possible to provide the exact probability.
Step-by-step explanation:
The question asks to find the probability that a new sample of 315 is less than 6.3%. To determine this probability, one would typically refer to a z-table or use statistical software assuming that the distribution of the sample percentages follows a normal distribution. However, the information provided does not include sufficient specific data regarding the distribution or standard deviation to calculate this probability directly.
It's important to note that if we're dealing with proportions, the central limit theorem might allow us to approximate the distribution of sample proportions as normal if the sample size is large enough (np > 5 and n(1-p) > 5). Even if the normal distribution is only an approximation to the real one, it's often used in these situations.
Without the exact distribution data or the desired percentage (6.3%), we cannot provide a numerical answer. We would need to know either the mean and standard deviation of the sampling distribution for sample proportions or have a specific table or software's computed cumulative frequency for 6.3% to proceed.