A random sample of5859physicians in Colorado showed that3089provided 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. (Round your answers to three decimal places.)lower limitupper limit

Give a brief explanation of the meaning of your answer in the context of this problem.

a.We are 1% confident that the true proportion of Colorado physicians providing at least some charity care falls above this interval.

b.We are 99% confident that the true proportion of Colorado physicians providing at least some charity care falls within this interval.

c.We are 99% confident that the true proportion of Colorado physicians providing at least some charity care falls outside this interval.

d.We are 1% confident that the true proportion of Colorado physicians providing at least some charity care falls within this interval.

(c) Is the normal approximation to the binomial justified in this problem? Explain.

a.No;np< 5 andnq> 5.

b.Yes;np< 5 andnq< 5.

c.No;np> 5 andnq< 5.

d.Yes;np> 5 andnq> 5.