60% of students entering four-year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 172 of the 249 students who played intramural sports...

60% of students entering four-year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 172 of the 249 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of αα = 0.10?

1. For this study, we should use    (t-test, z-test)


2. The null and alternative hypotheses would be:
    Ho:
   (symbol) (symbol) _____
   (please enter a decimal)
    H₁:(symbol) (symbol) _____
   (Please enter a decimal)

1. The test statistic
   (symbol)   = _____
   (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
   (symbol)
   αα


4. Based on this, we should      the null hypothesis.


5. Thus, the final conclusion is that ...
   
   
   

   
   
   • The data suggest the population proportion is notsignificantly larger than 60% at αα = 0.10, 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 60%.
   
   
   • The data suggest the population proportion is notsignificantly larger than 60% at αα = 0.10, 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 larger than 60%.
   
   
   • The data suggest the populaton proportion issignificantly larger than 60% at αα = 0.10, 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 larger than 60%
   
   

   
   
   
   


6. Interpret the p-value in the context of the study.
   
   
   

   
   
   • If the sample proportion of students who played intramural sports who received a degree within six years is 69% and if another 249 students who played intramural sports are surveyed then there would be a 0.17% chance of concluding that more than 60% of all students who played intramural sports received a degree within six years.
   
   
   •  There is a 0.17% chance of a Type I error.
   
   
   • If the population proportion of students who played intramural sports who received a degree within six years is 60% and if another 249 students who played intramural sports are surveyed then there would be a 0.17% chance that more than 69% of the 249 students surveyed received a degree within six years
   
   
   • There is a 0.17% chance that more than 60% of all students who played intramural sports received a degree within six years.
   
   

   
   
   
   


7. Interpret the level of significance in the context of the study.
   
   
   

   
   
   • There is a 10% 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 60% and if another 249 students who played intramural sports are surveyed then there would be a 10% 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 larger than 60%
   
   
   • There is a 10% chance that the proportion of all students who played intramural sports who received a degree within six years is larger than 60%.
   
   
   • If the population proportion of students who played intramural sports who received a degree within six years is larger than 60% and if another 249 students who played intramural sports are surveyed then there would be a 10% 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 60%.