A survey has been conducted to estimate the usage of high-speed internet in the local area. 160 households were surveyed and asked whether they used high-speed internet at their home. 110 households surveyed responded that they do have a high-speed internet connection at home.

a)Calculate the margin of error for the 95% confidence interval for the proportion of households that have a high-speed internet connection. Give your answer as a decimal to 3 decimal places.

margin of error =_____

b)Calculate the 95% confidence interval for the proportion of households that have a high-speed internet connection. Give your answers as decimals to 3 decimal places.

___ p ___