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Every day, I try to estimate an unknown parameter using a fresh data set. I look at the data and then I use some
Every day, I try to estimate an unknown parameter using a fresh data set. I look at the data and then I use some formulas to calculate a 70% confidence interval, [ Are the following statements accurate? + ), based on the day's data. Over the next 100 days, I expect that the unknown parameter will be inside the confidence interval about 70 times. Select an option If today's confidence interval is [0.41, 0.47], there is probability 70% that the unknown parameter is inside this confidence interval. Select an option Out of 100 days on which the confidence interval happens to be [0.41, 0.47], I expect that the unknown parameter will be inside the confidence interval about 70 times. Select an option Today, I decided to use a Bayesian approach, by viewing the unknown parameter, denoted by , as a continuous random variable and assuming a prior PDF for . I observe a specific value x, calculate the posterior fox ( | x), and find out that 0.47 So fex (0|x) 10 = 0.41 0.70. Am I allowed to say that there is probability 70% that the unknown parameter is inside the (Bayesian) confidence interval [0.41, 0.47]? Select an option
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