Problem 5. Zane is interested in the proportion of people who recycle each of th

Question

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.

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Problem 5. Zane is interested in the proportion of people who recycle each of th

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