Please answer (a), (b), and (c) and show work. For (b), please make sure to use a chi-square test of homogeneity. Thanks!

A radio station trying to determine what kind of music to play takes a simple random sample of 50 students at each of three locations: a local middle school, a high school, and a college. The students are asked to choose which of three different music genres they most enjoy hearing on the radio. Here are the results: ' - \" " '- Music Genre Hi Ho Alternative Post-rock Total 50 50 0913;: 16 20 14 50 Total 66 60 24 150 (a) In the table below, provide the appropriate expected values based on the data collected for comparing the music-listening preferences of the three age levels. based on the data above. Music Genre .5- - Age level (b) Perform the appropriate statistical test to determine if there is a difference in the music preference of these three age groups. (c) If you chose a chi-square test for homogeneity in part (b), explain how the data could have been obtained to make a chi-square test for independence appropriate. If you chose a test for independence, explain how the data could have been obtained to make a test for homogeneity appropriate