Test the randomness of given series

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From 1789 through 1870, the last names of associate justices appointed to the U.S. Supreme Court were as coded below. Last names beginning with A-M are shown as a "1," those beginning with N-Z as a "2."

Compare the observed number of runs with the expected number, then interpret what this difference might mean in terms of the sequence of the appointees. At the 0.10 level of significance, test the randomness of this series.

221111212111212221

121111221111211121

Reference no: EM131408835

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