It is said that happy and healthy workers are more efficient and productive. A company that manufactures exercising machines wanted to know the percentage of large companies that provide on site health club facilities. A random sample of 240 such companies showed that 80 of them provide such facilities on site.

(i) What is the point estimate of the proportion of all such companies that provide such facilities on site?

(ii) Construct a 99% confidence interval estimate of the proportion of all such companies that provide such facilities on site.

(iii) Interpret the interval constructed in part (ii).