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Assume that a sample is used to estimate a population proportion p. Find the 99% confidence interval for a sample of size 129 with 30 successes. Enter your answer as a tri-linear inequality using decimals (not percents) accurate to three decimal places. <p< Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.

- You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately p* 23 % . You would like to be 90% confident that you estimate is within 4% of the true population proportion. How large of a sample size is required? n = Do not round mid-calculation. However, use a critical value accurate to three decimal places.