On a normal weekend, $12\%$ of those attending Mass at a local Catholic church donate over $$200$ per week, $27\%$ donate between $$100$ and $$200$ per week, and the remaining donate less than $$100$ per week. At Christmas time, a survey of $221$ people attending Masses finds that $28\%$ donate over $$200,46\%$ donate between $$100$ and $$200,$ and the remaining donate less than $$100.$ When testing $($at the $10\%$ level of significance$)$ whether the proportions are different at Christmas time than during other weekends, what is the test statistic $($please round your answer to $3$ decimal places$)$