# Question

A company is wondering if it should subsidize the tuition costs of employees who are furthering their education. The company feels that it could afford a subsidy program if 25% or fewer of its employees enrolled in programs that would be eligible for subsidies. The chief accountant conducted a random sample of 400 employees and calculated that 26% would enroll in eligible programs if the subsidy were available. Suppose that if only 25% of employees actually enrolled in eligible programs, the sample proportions would be normally distributed, with a mean of 0.25 and a standard deviation of 0.021651. Does the sample result indicate that more than 25% of employees would enroll in eligible programs?

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