13-2 Sign Test 647 Yes Start Do the sample data contradict H1? Is n ◊ 25? Convert the test statistic x to the test statistic (x 1 0.5) 2 (n/2) Ïn/2 Find the critical z value(s) from Table A-2 in the usual way. Find the critical value from Table A-7. Is the test statistic less than or equal to the critical value(s)? Fail to reject the null hypothesis. Reject the null hypothesis. No No No Yes Yes Assign positive and negative signs and discard any zeros. Let n equal the total number of signs. Let the test statistic x equal the number of the less frequent sign. z 5 FIGURE 13-1 Sign Test Procedure
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