Problem 5 Zane is interested in the proportion of people who

Problem 5. Zane is interested in the proportion of people who recycle each of three distinct producs: paper, plastic and electronics. He wants to test the hypothesis that the proportion of people recycling each type of product differs by age group: 12-18 years old, 19-30 years old, 31-40 years old and over 40 years old. Describe the sampling method appropriate for a test of homogeneity regarding recycled products and age.

Interpretation: Test of Homogeneity Consider Zane\'s study regarding products recycled and age group (see Problem 5). Suppose he found a sample x²=16.83.

(a) How many degrees off reedom are used? Recall that there were 4 age groups and 3 products specified. Approximate the P-value and conclude the test at the 1% level of significance. Does it appear that the proportion of people who recycle each of the specified products differ by age group? Explain. (answer should be: d.f.=6, 0.005<P-value<0.01.)

(b) From this study, can Zane identify how the different age groups differ regarding the proportion of those recycling the specified product? Explain.

Please show ALL work.

Solution