The Reserve Mining Company of Minnesota commissioned a team of physicians to study the breathing patterns of its miners who were exposed to taconite dust. The physicians analyzed the breathing of 403 miners who had been employed in Reserve's Babbit, Minnesota, mine for more than 20 years. Suppose the physicians determined that seventy-two of the 403 miners had breathing irregularities.

a. Assume all conditions have been met. Give a 95% confidence interval for the proportion of miners with breathing irregularities.

b. Write a statement interpreting the interval that you created. Be sure to write in context

c. What does it mean to be 95% confident? Interpret the confidence level.