A survey has been conducted to estimate the usage of high-speed internet in the local area

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A survey has been conducted to estimate the usage of high-speed internet in the local area. 154 households were surveyed and asked whether they used high-speed internet at their home. 114 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 ≤