An Internet service provider sampled 540 customers, and finds that 75 of them experienced an interruption in high-speed service during the previous month. a) Obtain a point estimate, to at least three decimal places, for the population proportion of all customers who experienced an interruption in high-speed service during the previous month. b) Assuming the sample size is less than 5% of the population size, why can the sampling distribution of p-hat, the sample proportion of customers who experienced an interruption in high-speed service during the previous month, be approximately normal?c) Construct a 90% confidence interval for the proportion of all customers who experienced an interruption in high-speed service during the previous month. d) You wish to conduct your own study to determine the proportion of all customers who experienced an interruption in high-speed service during the previous month. What sample size would be needed for the estimate to be within 2 percentage points with 98% confidence if you use the point estimate obtained in part (a)?e) You wish to conduct your own study to determine the proportion of all customers who experienced an interruption in high-speed service during the previous month. What sample size would be needed for the estimate to be within 2 percentage points with 98% confidence if you don