Final answer:
To calculate the probability that the sample proportion is within a specific range, statistical data such as sample size and standard deviation are needed. Without these, it's not possible to answer the question. The concepts of p-value and confidence intervals are relevant but insufficient for a direct calculation.
Step-by-step explanation:
The question asks about the probability of a sample proportion being within a specific range. Based on the information provided, you'll need to use statistical methods to calculate this probability. For instance, if you are given a confidence interval and the sample proportion falls within that interval, you could refer to the appropriate sampling distribution, central limit theorem, or use a hypothesized proportion in conjunction with the sample size to find the probability.
In this case, however, there isn't enough data from the question to give a specific answer. Factors we would need include the sample size, the hypothesized proportion if it's a hypothesis test, and the standard deviation or standard error of the sample proportion. Without this information, we cannot calculate the exact probability.
Remember, a p-value is used in hypothesis testing to make decisions about the null hypothesis, and a confidence interval gives a range of plausible values for the population proportion with a certain level of confidence. Using these statistical tools, one can provide a better context for understanding sample proportions.