14% of all Americans suffer from sleep apnea. A researcher suspects that a different percentage of those who live in the inner city have sleep apnea. Of the 325 people from the inner city surveyed, 62 of them suffered from sleep apnea. What can be concluded at the level of significance of αα = 0.05? Round numerical answers to 3 decimal places For this study, we should use The null and alternative hypotheses would be: Ho: (please enter a decimal) H1: (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is αα Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly different from 14% 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 different from 14%. The data suggest the population proportion is not significantly different from 14% 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 14%. The data suggest the populaton proportion is significantly different from 14% at αα = 0.05, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is different from 14% Interpret the p-value in the context of the study. There is a 0.84% chance that the percent of all inner city residents who have sleep apnea differs from 14%. There is a 0.84% chance of a Type I error. If the population proportion of inner city residents who have sleep apnea is 14% and if another 325 inner city residents are surveyed then there would be a 0.84% chance that either more than 19% of the 325 inner city residents have sleep apnea or fewer than 9% of the 325 inner city residents have sleep apnea. If the sample proportion of inner city residents who have sleep apnea is 19% and if another 325 inner city residents are surveyed then there would be a 0.84% chance that we would conclude either fewer than 14% of all inner city residents have sleep apnea or more than 14% 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. If the population proportion of inner city residents who have sleep apnea is different from 14% and if another 325 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 14%. If the population proportion of inner city residents who have sleep apnea is 14% and if another 325 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 different from 14%. There is a 5% chance that the proportion of all inner city residents who have sleep apnea is different from 14%.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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14% of all Americans suffer from sleep apnea. A researcher suspects that a different percentage of those who live in the inner city have sleep apnea. Of the 325 people from the inner city surveyed, 62 of them suffered from sleep apnea. What can be concluded at the level of significance of αα = 0.05? Round numerical answers to 3 decimal places

  1. For this study, we should use    
  2. The null and alternative hypotheses would be:    
     Ho:            (please enter a decimal)   
     H1:            (Please enter a decimal)
  1. The test statistic     =  (please show your answer to 3 decimal places.)
  2. The p-value =  (Please show your answer to 4 decimal places.)
  3. The p-value is     αα
  4. Based on this, we should      the null hypothesis.
  5. Thus, the final conclusion is that ...
    • The data suggest the population proportion is not significantly different from 14% 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 different from 14%.
    • The data suggest the population proportion is not significantly different from 14% 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 14%.
    • The data suggest the populaton proportion is significantly different from 14% at αα = 0.05, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is different from 14%
  6. Interpret the p-value in the context of the study.
    • There is a 0.84% chance that the percent of all inner city residents who have sleep apnea differs from 14%.
    • There is a 0.84% chance of a Type I error.
    • If the population proportion of inner city residents who have sleep apnea is 14% and if another 325 inner city residents are surveyed then there would be a 0.84% chance that either more than 19% of the 325 inner city residents have sleep apnea or fewer than 9% of the 325 inner city residents have sleep apnea.
    • If the sample proportion of inner city residents who have sleep apnea is 19% and if another 325 inner city residents are surveyed then there would be a 0.84% chance that we would conclude either fewer than 14% of all inner city residents have sleep apnea or more than 14% of all inner city residents have sleep apnea.
  7. 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.
    • If the population proportion of inner city residents who have sleep apnea is different from 14% and if another 325 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 14%.
    • If the population proportion of inner city residents who have sleep apnea is 14% and if another 325 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 different from 14%.
    • There is a 5% chance that the proportion of all inner city residents who have sleep apnea is different from 14%.
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