An article studied differences between expert and consumer ratings by considering medal ratings for wines, which could be gold (G), silver (S), or bronze (B). Three categories were then established.
Rating is the same [(G, G), (B, B), (S, S)]
Rating differs by one medal [(G, S), (S, G), (S, B), (B, S)]
Rating differs by two medals [(G, B), (B, G)]
The observed frequencies for these three categories were 61, 108, and 47, respectively. On the hypothesis of equally likely expert ratings and consumer ratings being assigned completely by chance, each of the nine medal pairs has probability 1/9.
Carry out an appropriate chi-squared test using a significance level of 0.10.
Calculate the test statistic. (Round your answer to two decimal places.)