6 The reliability of the broadband connection received from two suppliers, \(A\) and \(B\), is classified as good, fair or poor by a random sample of householders. The information collected is summarised in the following table.
Reliability
\cline { 3 - 5 }
\multicolumn{2}{|c|}{}
Good
Fair
Poor
\multirow{2}{*}{Supplier}
\(A\)
65
63
33
\cline { 2 - 5 }
\(B\)
51
44
44
Test, at the 5\% significance level, whether reliability is independent of supplier.