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A random sample of 20 colleges was taken. The mean rate of graduation within four years was 41.3% with a margin of error of 5.0%.

A random sample of 20 colleges was taken. The mean rate of graduation within four years was 41.3% with a margin of error of 5.0%. The distribution of graduation rates is Normal. Complete parts (a) and (b) below. Question content area bottom Part 1 a. Choose the correct interpretation of the confidence interval below and fill in the answer boxes to complete your choice. (Type integers or decimals rounded to the nearest tenth as needed. Use ascending order.) A. We are 95% confident that the population mean is between 36.3% and 46.3%. Your answer is correct.B. There is a 95% probability that the population mean is between enter your response here% and enter your response here%. C. We are 95% confident that the recorded sample mean is between enter your response here% and enter your response here%. Part 2 b. Can we reject a population mean percentage of 28.2% on the basis of these numbers? Explain

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