Question: This question regards the relationship of the number of home exercises in fluency completed by clients and their parents with the number of blocks in fluent speech recorded in clinical observations at the conclusion of therapy. The 10 9-year-old children in this study all had substantial difficulty with fluent speech at the beginning of the school year. All of the children improved in fluency by the end of the school. At the end of the school year, each child’s continuous discourse was observed in 20 minute sessions involving talk with an experienced clinician. The clinician provided periodic prompts to encourage spontaneous and extended responses from the child, such as "tell me about summer vacation", or "tell me about the puppies in this picture". During the year, the parents were given a total of 15 fluency exercises to complete at home with their children, each exercise taking approximately one week to finish. One child’s parents completed 13 of the 15 exercises over the year as the highest number and one child’s parents completed only 3 exercises as the least number. The number of completed exercises and the number of speech blocks observed in the final interview session are recorded below.

Raw Data:

Number Completed Home

Child of Blocks Exercises

A 12 8

B 6 10

C 19 7

D 22 6

E 8 9

F 20 5

G 13 6

H 25 3

I 14 11

J 11 13

You do not know whether the number of speech blocks constitute equal interval numerals, since the severity of the fluency problem cannot be demonstrated to increase in a linear fashion as the number of blocks increases. Therefore, you decide to treat the number of speech blocks as ordinal numerals .

Your question involves the relationship between the number of speech blocks observed at the end of therapy and parent/child exercises completed during the school year. State this question as a null hypothesis in the form of a two-tailed question. Identify and compute the appropriate non-parametric statistic, and test the hypothesis for significance, using an alpha of 0.05. Interpret your results.

This question is worth 50 points. 4

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