A college claims that 97% of its graduates find jobs in their field within a year of graduation. Since you graduated from the program a year ago and have not been able to find a job, you think that the college has overestimated the job placement rate of its graduates. The alumni office contacts a random sample of 200 students from your college who graduated when you did, and discovers that 5% of the group do not have a job in their field. Does this mean that the college has over stated the proportion of graduates who find jobs in their field within a year of graduation?
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