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Which Statistics are Tests? 1 point possible {graded} Recall that a statistic is, intuitively speaking, a function that can be computed from the data. A

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Which Statistics are Tests? 1 point possible {graded} Recall that a statistic is, intuitively speaking, a function that can be computed from the data. A (statistical) test is an statistic whose output is always either 0 or 1, and like an estimator, does not depend explicitly on the value of true unknown parameter. Let X1, . ..,X11 5'55 Ber {3] for some unknown parameter 9 E (U, 1). Which of the following statistics are also tests? 1 if A occurs [Recall that 1 (A) is the indicator defined as follows: 1(A) = {0 otherwise [Choose all that apply.} _ 21\" _ 1 (in > 0.5) _ 1 (IE; 0.5| > 0.01) _ 1 (ii, 6| > 0.5) _ 1 (Xn is a rational number)

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