(20pts) A developmental psychologist in interested in whether children of three different ages (5, 8, and 1 1 years) differ in their liking for a certain kind of music. The psychologist studies n=200 children at a local elementary school. The results are shown in the table below: Observed Frequencies 5 years 8 years 11 years TOTAL Likes 43 73 34 150 Dislikes 7 27 16 50 TOTAL 50 100 50 a. State the null hypothesis. b. Determine the value for df for the chi-square test. Ryan Sams c. Compute the expected frequencies (fill in chart). Expected Frequencies 5 years 8 years 11 years Likes Dislikes d. With an a=0.05, compute the chi-square statistic and state your conclusion