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 11.36 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.

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Business Number in class Office 35 19 Retail/ 48 27 Observed Number that recycle one commodity Expected number that recycle one commodity 17.5 24 Wholesale Food/ 53 35 26.5 Restaurants Manufacturing/ 52 21 26 Medical Hotel/Mixed 24 9 12 Table 11.36