Question

Use the dataset of ranks presented below for Questions 4-6. Note: Show your work on a separate sheet. You will be asked to upload a scan/picture at the end of the test. Therapist Ranking (x) Number of Clients Ranking (y) I 2 55 7 Compute the Spearman's rho correlation coefficient for the dataset. Express your answer to 3 decimal places. (The data are already in the form of ranks, there is no need to convert the scores.) QUESTION 5 What would be the critical value for a 2-tailed test of the previous question's Spearman's rho using a .05 alpha level? (Express your answer to 3 decimal places) QUESTION 6 Based on the Spearman's rho you calculated in Question 4 and the critical value you identified in Question 5, is the Spearman's the statistically significant (.e., should you reject the null hypothesis)? Yes No

Answer 1

Solution Questions 4) Given that let xử the therapist Ranking and yu the number of clients sainking. So for the calculatim mé consider the making the table.eus follows. x | Rank of X Rank of Y Rank &* Ranky Rank x² Rank y2 X حل م ليا مع to wo ♡ Faw X ال ى له مه Tsum نه then the Spearman correlatin lv-ejuvent ks SSxy . j sxx Syy Yen Sky = { renk kar vaskes - (rok x)(8 Prouk (r)) = 176 - ( 36 ) (36) 178 – 162 = 16

SSxx = Rook (rip* – (2 Rank (x)" = 204 -(26) = 204-162 = 42 SSxy = , Park ye? - + ({ porky)? - 2014 -+(3632 = 2014 - 162 = 42. le Y = Ssxy ✓ SS x x SSyy - 16 - 16 V 42x42 0.38095. = I rs ņ 0.381 | or I 8 2 0.381 NOTEC Spearman correlalin coefficient eanbe llenoled eel Yg and also by Questun 5 By the guien enformation , n=8 and d=0.05 (two tailed). et can be found from spearman correlafüs rank criteal table Pc = 0.738)

Questions o No NOTE: Hore IB 1 = 0.381.2 Pe = 0.738 , re eve fuil to reflet null hypothesis in the oiuen d=0.05 (two tailed).