Last year, category A had 32.5%, category B had 54.7%, category C had 2%, and category D had 10.8%. This year's numbers are shown in the table below. Conduct a chi- squared goodness of fit test for the claim that the category proportions are unchanged from last year. Complete the summary table below and then conduct the test using a significance level of a = 0.05. Observed Expected Category fo fe (fo-fe) fe A 282 B 455 22 D 93 Round expected values to two decimal places and individual contributions (last column) to four decimal places. What is the chi-square test-statistic for this data? (Round your answer to 4 decimal places, and remember to use the unrounded Pearson residuals in your calculations.) X stat What are the degrees of freedom for this test? df = = 3 What is the critical value for this test? (Express your answer rounded to 3 decimal places.) Xcrit = The test statistic and critical value lead to a decision to O reject the null hypothesis O fail to reject the null hypothesis As such, the final conclusion is that O there is sufficient evidence that this year's category proportions are different from last year's proportions. there is not sufficient evidence that this year's category proportions are different from last year's proportions.