A law enforcement organization claims that their radar gun is accurate to within 0.5 miles per hour for a court hearing. An independent organization hired to test the accuracy of the radar gun conducted 12 tests on a projectile moving at 60 miles per hour. Given the data in the following table, determine if the radar gun can be used in court. State the hypothesis and base your comments on an appropriate α level.

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.