At a certain university, 40% of the students come from Orange County, 20% come from Los Angeles County, 20% come from another county in California, 10% come from another state, and 10% come from a different country. Zoe wants to see if the students in her class fit this profile. She takes a sample: 100 come from Orange County, 35 come from Los Angeles County, 30 come from another county in California, 20 come from another state, and 15 come from another country. Please calculate the test statistic, state the critical value, and come to a conclusion concerning the make-up of the class.
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