57% of students entering four-year colleges receive a degree within six years. Is this percent different from for students who play intramural sports? 123 of the 212 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of αα = 0.01? 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

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57% of students entering four-year colleges receive a degree within six years. Is this percent different from for students who play intramural sports? 123 of the 212 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of αα = 0.01?

  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 57% at αα = 0.01, so there is not sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is different from 57%.
    • The data suggest the populaton proportion is significantly different from 57% at αα = 0.01, so there is sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is different from 57%
    • The data suggest the population proportion is not significantly different from 57% at αα = 0.01, so there is sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is equal to 57%.
  6. Interpret the p-value in the context of the study.
    • If the population proportion of students who played intramural sports who received a degree within six years is 57% and if another 212 students who played intramural sports are surveyed then there would be a 76.44% chance that either more than 58% of the 212 studetns surveyed received a degree within six years or fewer than 56% of the 212 students surveyed received a degree within six years.
    • There is a 76.44% chance that the percent of all students who played intramural sports who received a degree within six years differs from 57%.
    • If the sample proportion of students who played intramural sports who received a degree within six years is 58% and if another 212 voters are surveyed then there would be a 76.44% chance that we would conclude either fewer than 57% of all students who played intramural sports received a degree within six years or more than 57% of all students who played intramural sports received a degree within six years.
    • There is a 76.44% chance of a Type I error.
  7. Interpret the level of significance in the context of the study.
    • There is a 1% 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 students who played intramural sports who received a degree within six years is 57% and if another 212 students who played intramural sports are surveyed then there would be a 1% chance that we would end up falsely concluding that the proportion of all students who played intramural sports who received a degree within six years is different from 57%
    • There is a 1% chance that the proportion of all students who played intramural sports who received a degree within six years is different from 57%.
    • If the population proportion of students who played intramural sports who received a degree within six years is different from 57% and if another 212 students who played intramural sports are surveyed then there would be a 1% chance that we would end up falsely concluding that the proportion of all students who played intramural sports who received a degree within six years is equal to 57%.
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