During the summer of 2003, a nursing home measured the quality of administering medications to the residents.  Quality was divided into three categories: excellent – medication received within 15 minutes of scheduled time; acceptable – medication received between 15 and 30 minutes of scheduled time; and poor – medication received within 30 minutes of scheduled time.  The nursing home has set a quality standard that at least 75% of all medications should be of excellent quality.  A sample of 200 medication administrations resulted in 138 classified as excellent, 41 as acceptable, and 21 as poor.  At 5% level of significance, the conclusion with respect to refuting the nursing home’s assertion is that there is sufficient evidence to conclude that the standard is not being met. What is the p-value?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 25PPS
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During the summer of 2003, a nursing home measured the quality of administering medications to the residents.  Quality was divided into three categories: excellent – medication received within 15 minutes of scheduled time; acceptable – medication received between 15 and 30 minutes of scheduled time; and poor – medication received within 30 minutes of scheduled time.  The nursing home has set a quality standard that at least 75% of all medications should be of excellent quality.  A sample of 200 medication administrations resulted in 138 classified as excellent, 41 as acceptable, and 21 as poor.  At 5% level of significance, the conclusion with respect to refuting the nursing home’s assertion is that there is sufficient evidence to conclude that the standard is not being met. What is the p-value?

 

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