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A web based software company is interested in estimating the proportion of individuals who use the Firefox browser. In a sample of 200 of individuals, 33 users stated that they used Firefox. Using this data, construct a 99% confidence interval for the proportion of all individuals that use Firefox.

  1. What is the lower limit on the 99% confidence interval? Give your answer to three decimal places.
  2. What is the upper limit on the 99% confidence interval? Give your answer to three decimal places.
  3. What sample size would be required so that the width of the 99% confidence interval would be at most 0.03 units wide? Be as conservative as possible with your answer.

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