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Activity . Estimating a Proportion full name: 1) In 1998, a random sample of 1036 Americans were asked if they owned a cell phone and 881 said they owned a cell phone. Find the sample proportion, rounded to two decimal places. p - 2) Construct a 95% confidence interval for the population proportion, first by hand, using the formula, where z* is the z-score associated with a 95% confidence level and q - 1- p. Use your estimated sample proportion from the previous question. Show your work in the space provided. Confidence interval: 3) What is the 95% confidence interval given by your calculator? (Use 1-PropZInt.) Confidence interval: Check that this is consistent with your first interval. (It will be slightly off due to rounding.) 4) Interpret your interval in terms of the problem. Note: Your interpretation should include the confidence level, the interval, and the population parameter that is being estimated. (See "Writing the Interpretation" on page 392.) Be as detailed as possible when describing the population parameter