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A researcher examined a random sample of 300 homes in a small city and found that 47 had solar panels installed on their roofs. Use

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A researcher examined a random sample of 300 homes in a small city and found that 47 had solar panels installed on their roofs. Use the sample to construct a 99% confidence interval for the proportion of all homes in the city that have solar panels installed on their roofs. What is the standard error for the 99% confidence interval? **Round to three decimal places

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