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(a) The table above gives the results of the taste test administered to the nine randomly selected consumers. If we consider testing H0:Md= versus Ha:Md=0

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(a) The table above gives the results of the taste test administered to the nine randomly selected consumers. If we consider testing H0:Md= versus Ha:Md=0 where Md is the median of the (+1 and -1) preference rankings, determine the values of S1,S2, and S for the sign test needed to test H0 versus Ha. (b) Use the value of S to find the p-value for testing H0:Md= versus Ha:Md=. Then use the p-value to test H0 versus Ha by setting a equal to .10,.05,.01, and .001 . How much evidence is there of a difference in the preferences for Coke and Pepsi? What do you conclude? (Round your z value to 2 decimal places and final answer to 4 decimal places.)

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