Step 1 :Given that the total number of people polled (n) is 937 and the number of people who said 'yes' (x) is 513.
Step 2 :The best point estimate of the population proportion p is given by the formula \(p = \frac{x}{n}\), where x is the number of successes (in this case, the number of people who said 'yes') and n is the total number of trials (in this case, the total number of people polled).
Step 3 :Substitute the given values into the formula: \(p = \frac{513}{937} = 0.5474919957310566\).
Step 4 :Round the result to three decimal places: \(p = 0.547\).
Step 5 :Final Answer: The best point estimate of the population proportion p is \(\boxed{0.547}\).