Before students wrote a mathematics examination, their teacher had made predictions about the results that students will receive. After the actual results of the examinations, the results for 150 candidates were classified according to whether the predicted grade was better than, equal to, or worse than the actual grade, as shown in the following table: Predicted grade Actual Grade Obtained Better Equal Worst B 17 30 12 59 C 10 22 9 41 D 20 15 15 50 47 67 36 150 Carry out a χ2 test at the 5% level of significance to determine whether the teachers prediction and the actual results are independent
Before students wrote a mathematics examination, their teacher had made predictions about the results that students will receive. After the actual results of the examinations, the results for 150 candidates were classified according to whether the predicted grade was better than, equal to, or worse than the actual grade, as shown in the following table: Predicted grade Actual Grade Obtained Better Equal Worst B 17 30 12 59 C 10 22 9 41 D 20 15 15 50 47 67 36 150 Carry out a χ2 test at the 5% level of significance to determine whether the teachers prediction and the actual results are independent
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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Question
Before students wrote a mathematics examination, their teacher had made predictions about the results that students will receive. After the actual results of the examinations, the results for 150 candidates were classified according to whether the predicted grade was better than, equal to, or worse than the actual grade, as shown in the following table:
Predicted grade
Actual Grade Obtained |
|
Better |
Equal |
Worst |
|
B |
17 |
30 |
12 |
59 |
|
C |
10 |
22 |
9 |
41 |
|
D |
20 |
15 |
15 |
50 |
|
|
47 |
67 |
36 |
150 |
Carry out a χ2 test at the 5% level of significance to determine whether the teachers prediction and the actual results are independent
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