The Ellington Dukes team AS WIL other minor league teams the 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 15 of fans attending Dukes games are ages o to 12 10 are ages 13 to 18 30 are ages 19 to 35 25 are ages 36 to 5s and 20 are over 55 A statistical consulting firm for the Dukes surveyed a random sample of 200 fans attending Dukes games in order to see if these estimates are accurate For the sample of 200 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 200 fans if the Dukes management s estimates are accurate The bottom row of numbers contains the following value for each of the age categories fo E Observed frequency Expected frequency Expected frequency Part 1 Fill in the missing values in the table Round your responses for the expected frequencies to two or more decimal places Round your Jo 18 2 responses to three or more decimal places Send data to Excel Observed frequency fo Expected frequency JE SE o to 12 34 13 to 18 28 0 19 to 35 61 60 00 0 017 36 to 55 30 50 00 8 000 Over 55 a Determine the type of test statistic to use 47 40 00 1 225 Total 200 X 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 significance for the test Type of test statistic Choose one b Find the value of the test statistic Round your answer to two or more decimal places 0 c Find the critical value Round your answer to two or more decimal places 0 S d Can we conclude that the management s original estimates for the age distribution of fans attending Dukes games are inaccurate OYes No X