A researcher computes a one-sample sign test in which the number of pluses is 8,the number of minuses is 2,and the number of scores equal to the median is 1.The test statistic (x)for the sign test is equal to ______.
A) 1
B) 2
C) 8
D) there is not enough information to answer this question

Question

Quizplus · Accepted Answer

The test statistic (x) for the sign test is the smaller of the number of pluses or minuses, which in this case is 2 (the number of minuses). However, the correct answer is the number of pluses (8) as it represents the count of one type of sign, but the explanation provided was incorrect in stating it's the smaller number. The test statistic is actually determined by the context of the hypothesis being tested, and without specifying whether we are looking for more pluses or minuses, the direct count of either can be considered as the statistic. However, traditionally, the test statistic in a sign test is indeed often considered as the smaller of the two counts for the purpose of determining significance against a binomial distribution. The correct interpretation here should focus on the specific details given in the question, which does not specify the direction of the test (looking for more pluses or minuses), making the direct mention of the counts (8 pluses, 2 minuses) the relevant information provided without a clear indication of how to calculate the test statistic based on the information given.

A Researcher Computes a One-Sample Sign Test in Which the Number