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For the next two questions, assume a simple random sample has been taken, the conditions for a binomial distribution are satisfied, and the sample proportions

For the next two questions, assume a simple random sample has been taken, the conditions for a binomial distribution are satisfied, and the sample proportions can be approximated by a normal distribution. As part of a restoration project at a wetland, biologist planted Lyngbye's sedge shoots. After one year, from a sample of 300 shoots planted, the number of shoots remaining was 210. Use 95% confidence level.

  1. Find the margin of error E that corresponds to the above statistics and confidence. Use 95% confidence level.

  1. Use the sample data and confidence level to construct a confidence interval estimate of the population proportion p.

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