Find the necessary confidence interval for the binomial proportion p. (Round your answers to three decimal places.) A 95% confidence interval for p, based on a random sample of 800 trials of a binomial experiment which produced 24 successes. to USE SALT Interpret the interval that you have constructed. O There is a 95% probability that the sample proportion is within the interval. O There is a 95% probability that the population proportion is within the interval. We are 95% confident that the sample proportion is within the interval. O We are 95% confident that the population proportion is directly in the middle of these two values. We are 95% confident that the population proportion is within the interval.

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