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In a recent audit of a fast-food franchise, it was determined that 90% of all drive-thru orders in the past year were filled correctly.
In a recent audit of a fast-food franchise, it was determined that 90% of all drive-thru orders in the past year were filled correctly. Suppose that they recently implemented a quality improvement effort to ensure that more orders at the drive-thru are filled properly. We would like to determine if the quality improvement effort has improved the proportion of correctly filled orders by testing the hypotheses:
H0: p≤0.90
HA :p>0.90
Data are collected from a sample of 400 orders using the new process. The results indicate that 370 orders were filled correctly.
If the managers of the franchise decided that they would reject the null hypothesis (H0 :p≤0.90) if p^ > .92 and if the actual proportion of correct orders was 0.95, what is the power of the test?
Report 4 decimal places.
