V The Ellington Dukes are a minor-league baseball team. As with most other minor league teams, the Dukes rely heavily on promotions to bring fans to the ballpark. These promotions are typically almed at fans of specific coes. The management for the Dukes has planned its current promotional schedule according to the following estimates: 15% of rans attending Dukes games are boss () to 12 10% are soes 13 to 18, 30% are ages 19 to 35, 25% are soes 36 to $5 and 20% are over 55. A statistical consulting firm for the Dukes surveyed a random sample of 180 fans attending Dukes games In order to see If these estimates 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 frequencies expected for a random sample of 180 fans If the Dukes' management's estimates are e. The bottom row of numbers contains the following value for each of the age categories. ( 60 - FE ) [Observed frequency - Expected frequency) Expected frequency Part 1 Fill In the missing values in the table. Round your responses to to two or more dedmal places. Round your FE responses to three or more decimal places. Send data to Excel 0 to 12 13 to 18 19 to 35 36 to 55 Over 55 Total X 5 ? Observed frequency 26 180 to Expected frequency 18 00 45.00 36 00 (lo-fe) 3.556 4356 1.778 Part 2 Answer the following to summarize the les is that the management's es es are accurate. Use the 0.05 level of signincance for the test. (a) Determine the type of best statistic to use. 15 Type of test statistics (Choose one] (b) Find the value of the test statistic. (Round your answer to two or more decimal places. (c) Find the P-value. (Round your answer to three or more decimal p (a) Can we condude that the management's original es of fans attending Dukes games are Inaccurate SONG