The Ellington Dukes are a minor-league baseball team In Ellington. Georgia. As with most other minor-league teams, die Dukes rely heavily on promotions to bring fans to the ballpark. These promotions are typically aimed at fans of specific ages. The management for the Dukes has planned its current promotional schedule according to the following estimates: [5% of fans attending Dukes games are ages 0 to 12. 10% are ages 13 to 18, 30% are ages 19 to 35. 25% are ages 36 to 55. and 20% are over 55. A statistical consulting rm for the Dukes surveyed a random samp|_e of 180 fans attending Dukes games in order to see if these es'dmates are accurate. For the sample of 180. the observed frequency of each age category is given in the top row of numbers in the table below. The second row of numbers contains the fr_equencies expected for a random sample of 180 fans if the Dukes' management's estimates are accurate. The bottom row of numbers contains the following value for each of the age categories. 2 2 (faf5) (Observed frequency- Expected frequency) fE Expected frequency part 1 (fa-e): J32 Fill In the missing values in the table. Round your responses for the expected frequencies to two or more decimal places. Round your responses to three or more decimal places. Send data to Exoel - (Ho [2 13m 18 19to35 36t055 0ver55 Total X 3) Q ' Observed frequency J L; Expected frequency _f E Part 2 Answer the following to summarize the test of the hypothesis that the management's estimates are accurate. Use the 0.10 level of signicance for the test. (a) Determine the type of test statistic to use. X 8 r? ' 'iybe of test statistic: [choose one) V (b) Find the value of the test statistic. (Round your answer to two or more decimal places.) (c) Find the critical value. [Round your answer to two or more decimal places.) [I