Question

Is there a generation gap in the type of music that people listen to? The accompanying table represents the type of favorite music for a sample of 1,000 respondents classified according to their age groups. At the 0.01 level of significance, is there evidence of a relationship between favorite type of music and age group? EClick the icon to view the table State the null and alternative hypotheses to test Ho T123 = T4 i Type of favorite music classified by age group H Not all are equal (where j 1, 2, 3, 4) Calculate the test statistic. FAVORITE AGE TYPE 16-29 50-64 Total 30-49 65 and over STAT (Round to two decimal places as needed.) Rock 69 67 57 22 215 41 20 Rap or hip-hop Rhythm and blues 2 71 Determine the p-value. 48 46 49 37 180 (Round to three decimal places as needed.) p-value Country 46 55 56 76 233 Make conclusion for this test. 28 Classical 20 33 54 135 Jazz 21 25 33 51 130 evidence of a relationship between favorite H There is Salsa 14 8 36 Total 250 250 250 250 1000 Print Done

Answer 1

Ho: there is no relationship between favorite type of music and age group

Ha : there is a significant relationship between favorite type of music and age group

applying chi square test of independence:

X²_stat =126.62

p value =0.0000

Reject Ho ; there is suffiicent evidence of a relationship.......