Refer to the indicated data set in Appendix B and use the sign test for the claim about the median of a population. Earthquake Magnitudes? Refer to Data Set 16 in Appendix B for the earthquake magnitudes. Use a 0.01 significance level to test the claim that the median is equal

Solution 18BSC Step 1 By using = 0.01 level of significance to test the claim that the median of earthquake magnitude is equal to 1. The Hypotheses can be expressed as H0 Median is equal to 1 H1 Median is not equal to 1 Step 2 Let us denote negative sign (-) for earthquake magnitude less than 1 and positive sign (+) for earthquake magnitude more than 1, we have 20 negative signs and 27 positive signs and 3 equal values from the dataset-16 of Appendix B. Now, Positive signs = 27 Negative signs = 20 Number of ties = 3 Now, the Test Statistic is the less frequent sign i.e., negative sign = 20 Therefore, x = 20 is the required value of test statistic. Hence for sign test the required sample size used is 47 i.e., n = 27 + 20 = 47 which is greater than 25 (n 25).