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Magic Valley Memorial Hospital Administrators Have Recently Received an Internal

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Magic Valley Memorial Hospital administrators have recently received an internal audit report that indicates that 15% of all patient bills contain an error of one form or another. After spending considerable effort to improve the hospital's billing process, the administrators are convinced that things have improved. They believe that the new error rate is somewhere closer to 0.05.Suppose that recently the hospital randomly sampled 10 patient bills and conducted a thorough study to determine whether an error exists. It found 3 bills with errors. Assuming that managers are correct that they have improved the error rate to 0.05, what is the probability that they would find 3 or more errors in a sample of 10 bills?


Definitions:

Proportional Tax

A tax system where the rate of taxation is fixed, meaning the tax rate stays the same regardless of the taxable amount or income.

Average Tax Rate

The portion of total income that is paid as tax, calculated by dividing the total tax amount by the taxable income.

Tax Base

The total amount of assets or revenue that a government can tax to fund its operations and services.

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