54% of students entering four-year colleges receive a degree within six years. Is this percent different from for students who play intramural sports? 154 of the 261 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of αα = 0.10? For this study, we should use Select an answer z-test for a population proportion t-test for a population mean  The null and alternative hypotheses would be:      Ho: ? p μ  Select an answer = > ≠ <   (please enter a decimal)     H1: ? μ p  Select an answer = > < ≠   (Please enter a decimal) The test statistic ? t z  =  (please show your answer to 3 decimal places.)

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54% of students entering four-year colleges receive a degree within six years. Is this percent different from for students who play intramural sports? 154 of the 261 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 Select an answer z-test for a population proportion t-test for a population mean 
  2. The null and alternative hypotheses would be:    
     Ho: ? p μ  Select an answer = > ≠ <   (please enter a decimal)   
     H1: ? μ p  Select an answer = > < ≠   (Please enter a decimal)
  1. The test statistic ? t z  =  (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 Select an answer fail to reject reject accept  the null hypothesis.
  5. Thus, the final conclusion is that ...
    • The data suggest the populaton proportion is significantly different from 54% 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 different from 54%
    • The data suggest the population proportion is not significantly different from 54% 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 54%.
    • The data suggest the population proportion is not significantly different from 54% 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 different from 54%.
  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 54% and if another 261 students who played intramural sports are surveyed then there would be a 10.48% chance that either more than 59% of the 261 studetns surveyed received a degree within six years or fewer than 49% of the 261 students surveyed received a degree within six years.
    • If the sample proportion of students who played intramural sports who received a degree within six years is 59% and if another 261 voters are surveyed then there would be a 10.48% chance that we would conclude either fewer than 54% of all students who played intramural sports received a degree within six years or more than 54% of all students who played intramural sports received a degree within six years.
    • There is a 10.48% chance of a Type I error.
    • There is a 10.48% chance that the percent of all students who played intramural sports who received a degree within six years differs from 54%.
  7. Interpret the level of significance in the context of the study.
    • If the population proportion of students who played intramural sports who received a degree within six years is different from 54% and if another 261 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 54%.
    • There is a 10% chance that the proportion of all students who played intramural sports who received a degree within six years is different from 54%.
    • If the population proportion of students who played intramural sports who received a degree within six years is 54% and if another 261 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 different from 54%
    • 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.
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