A study reported that 46% of 16 to 29 year olds, 42% of 30 to 49-year-olds, and

Question

A study reported that 46% of 16 to 29 year olds, 42% of 30 to 49-year-olds, and 32% of 50 to 64-year-olds often listened to rock music. Suppose that the study was based on a sample size of 200 in each group Complete parts (a) through (c) a. Is th re evidence of a significant diference among the age groups with respect to the proportion who oeen listened to rock music? Use -00 State the null and altemative hypotheses. harir Hy At least one of the , is not equal to zero (where j-1, 2, 3) optio H1 : Not all are equal (where j 1.2.3) ibr The test statistic is TAT Round to three decimal places as needed)

Explanation / Answer

here applying chi square goodness of fit test:

from above test statistic =5.200

observed Expected Chi square category Probability O E=total*p =(O-E)^2/E 16-29 1/3 92.000 80.00 1.80 30-49 1/3 84.000 80.00 0.20 50-64 1/3 64.000 80.00 3.20 1 240 240 5.20

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