Thus, the final conclusion is that ... The data suggest the population proportion is not significantly larger than 12% at αα = 0.05, so there is not sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is larger than 12%. or The data suggest the population proportion is not significantly larger than 12% at αα = 0.05, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is equal to 12%. or The data suggest the populaton proportion is significantly larger than 12% at αα = 0.05, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is larger than 12% Interpret the p-value in the context of the study. There is a 30.36% chance of a Type I error.or If the population proportion of inner city residents who have sleep apnea is 12% and if another 349 inner city residents are surveyed then there would be a 30.36% chance that more than 13% of the 349 inner city residents surveyed have sleep apnea. or There is a 30.36% chance that more than 12% of all inner city residents have sleep apnea. or If the sample proportion of inner city residents who have sleep apnea is 13% and if another 349 inner city residents are surveyed then there would be a 30.36% chance of concluding that more than 12% of all inner city residents have sleep apnea. Interpret the level of significance in the context of the study. There is a 5% chance that aliens have secretly taken over the earth and have cleverly disguised themselves as the presidents of each of the countries on earth. or If the population proportion of inner city residents who have sleep apnea is 12% and if another 349 inner city residents are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of all inner city residents who have sleep apnea is larger than 12%. or There is a 5% chance that the proportion of all inner city residents who have sleep apnea is larger than 12%. or If the population proportion of inner city residents who have sleep apnea is larger than 12% and if another 349 inner city residents are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of all inner city residents who have sleep apnea is equal to 12%.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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12% of all Americans suffer from sleep apnea. A researcher suspects that a higher percentage of those who live in the inner city have sleep apnea. Of the 349 people from the inner city surveyed, 45 of them suffered from sleep apnea. What can be concluded at the level of significance of αα = 0.05?

  1. Thus, the final conclusion is that ...
    • The data suggest the population proportion is not significantly larger than 12% at αα = 0.05, so there is not sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is larger than 12%. or 
    • The data suggest the population proportion is not significantly larger than 12% at αα = 0.05, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is equal to 12%. or
    • The data suggest the populaton proportion  is significantly larger than 12% at αα = 0.05, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is larger than 12%
  2. Interpret the p-value in the context of the study.
    •  There is a 30.36% chance of a Type I error.or 
    • If the population proportion of inner city residents who have sleep apnea is 12% and if another 349 inner city residents are surveyed then there would be a 30.36% chance that more than 13% of the 349 inner city residents surveyed have sleep apnea. or
    • There is a 30.36% chance that more than 12% of all inner city residents have sleep apnea. or
    • If the sample proportion of inner city residents who have sleep apnea is 13% and if another 349 inner city residents are surveyed then there would be a 30.36% chance of concluding that more than 12% of all inner city residents have sleep apnea.
  3. Interpret the level of significance in the context of the study.
    • There is a 5% chance that aliens have secretly taken over the earth and have cleverly disguised themselves as the presidents of each of the countries on earth. or
    • If the population proportion of inner city residents who have sleep apnea is 12% and if another 349 inner city residents are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of all inner city residents who have sleep apnea is larger than 12%. or
    • There is a 5% chance that the proportion of all inner city residents who have sleep apnea is larger than 12%. or
    • If the population proportion of inner city residents who have sleep apnea is larger than 12% and if another 349 inner city residents are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of all inner city residents who have sleep apnea is equal to 12%.
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