1 Two randomly selected groups of students, with similar ranges of abilities, take the same examination in different rooms. One group of 140 students takes the examination with background music playing. The other group of 210 students takes the examination in silence. Each student is awarded a grade for their performance in the examination and the numbers from each group gaining each grade are shown in the following table.
| \cline { 2 - 4 }
\multicolumn{1}{c|}{} | Grade awarded |
| \cline { 2 - 4 }
\multicolumn{1}{c|}{} | A | B | C |
| Background music | 49 | 51 | 40 |
| Silence | 93 | 68 | 49 |
Test at the 10\% significance level whether grades awarded are independent of whether background music is playing during the examination.