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Q113Section C (Part C)113 of 120

Non-parametric inference — the sign test and its confidence interval

Let X1,X2,…,X7X_1,X_2,…,X_7 be a random sample drawn from a continuous distribution with unknown unique median MM. The null hypothesis H0:M=2H_0:M=2 is tested against the alternative H1:M>2H_1:M>2 at level of significance 0.05 using the right-tailed test based on the Sign test statistic KK, which is the number of observations in the sample greater than 2. If the observed sample is −3,−6,1,9,4,10,12-3,-6,1,9,4,10,12, which of the following statements are true?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Options

Select every correct option, then submit.