Statement of a problem № m825


Research by the First Bank of Illinois revealed that 8% of its customers wait more than 5 minutes for a teller in a bank lobby. Management considers this reasonable and will not add more tellers unless the proportion waiting longer than 5 minutes becomes larger than 8%. The branch manager at the Litchfield Branch believes that the wait is longer than the standard at her branch and requested additional part-time tellers. To support her request, she found that, in a sample of 100 customers, 10 waited more than 5 minutes. At the .01 significance level, is it reasonable to conclude that more than 8% of the customers wait more than 5 minutes?

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