A random sample of5,643physicians in Colorado showed that3,251provided at least some charity care (i.e., treated poor people at no cost).(a)Letprepresent the proportion of all Colorado physicians who provide some charity care. Find a point estimate forp. (Round your answer to four decimal places.) (b)Find a 99% confidence interval forp. (Enter your answer in the form: lower limit to upper limit. Include the word "to." Round your numerical values to three decimal places.)