Chapter 11, Problem 84H

A sample of 212 commercial businesses was surveyed for recycling one commodity; a commodity here means any one type of recyclable material such as plastic or aluminum. Table 11.41 shows the business categories in the survey, the sample size of each category, and the number of businesses in each category that recycle one commodity. Based on the study, on average half of the businesses were expected to be recycling one commodity. As a result, the last column shows the expected number of businesses in each category that recycle one commodity. At the 5% significance level, perform a hypothesis test to determine if the observed number of businesses that recycle one commodity follows the uniform distribution of the expected values.

BusinessType	Number inclass	Observed Number that recycleone commodity	Expected number that recycleone commodity
Office	35	19	17.5
Retail/

Wholesale 48 27 24 Food/

Restaurants 53 35 26.5 Manufacturing/

Medical 52 21 26 Hotel/Mixed 24 9 12

Table 11.41