3 7. Sheldon and Leonard each want to estimate the proportion of California residents who are Star Trek fans. Sheldon selects a simple random sample of 1000 California residents to survey, and Leonard selects a simple random sample of 500 California residents to survey. From their respective samples, Sheldon and Leonard each calculate a sample proportion (i.e., the proportion of individuals in the sample who say they are Star Trek fans). Think carefully about what you've learned about sampling distributions and what you'd expect the sampling distributions of the sample proportion to look like in this example for samples of size n = 1000 versus samples of size n = 500. Which sampling distribution will have less variability? A. Both sampling distributions will be equally variable because the samples have been drawn from the same population. B. Both sampling distributions will be equally variable because sample size has no impact on variability. C. The sampling distribution based on samples of size n = 1000 will have less variability. D. The sampling distribution based on samples of size n = 500 will have less variability. E. This question cannot be answered without knowing the population proportion.