An organization offers a program designed to increase the level of comprehension achieved by students when reading technical material quickly. Each member of a random sample of 10 students was given 30 minutes to read an article. A test of the level of comprehension achieved was then administered. This process was repeated after these students had completed the program. The accompanying table shows comprehension scores before and after completion of the program. Use the sign test to test the null hypothesis that for this population there is no overall improvement in comprehension levels following completion of the program.Student Before AfterA 62 69B 63 72C 84 80D 70 70E 60 69F 53 61G 49 63H 58 59I 83 87J 92 98
An organization offers a program designed to increase the level of comprehension achieved by students when reading technical material quickly. Each member of a random sample of 10 students was given 30 minutes to read an article. A test of the level of comprehension achieved was then administered. This process was repeated after these students had completed the program. The accompanying table shows comprehension scores before and after completion of the program. Use the sign test to test the null hypothesis that for this population there is no overall improvement in comprehension levels following completion of the program.
Student Before After
A 62 69
B 63 72
C 84 80
D 70 70
E 60 69
F 53 61
G 49 63
H 58 59
I 83 87
J 92 98
Given Information:
The data for the score before and after completion of the program.
The null and alternative hypotheses are:
Null hypothesis: There is no overall improvement in comprehensive levels following the completion of the program.
Alternative hypothesis: There is an overall improvement in comprehensive levels following the completion of the program.
The table below shows the difference between each pair of scores and the sign of the difference.
| Student | Before | After | Difference = Before-After | Sign of difference |
| A | 62 | 69 | -7 | - |
| B | 63 | 72 | -9 | - |
| C | 84 | 80 | 4 | + |
| D | 70 | 70 | 0 | NA |
| E | 60 | 69 | -9 | - |
| F | 53 | 61 | -8 | - |
| G | 49 | 63 | -14 | - |
| H | 58 | 59 | -1 | - |
| I | 83 | 87 | -4 | - |
| J | 92 | 98 | -6 | - |
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