59% of students entering four-year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 148 of the 232 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 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 ? z t  =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 4 decimal places.) The p-value is ? ≤ >  αα

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59% of students entering four-year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 148 of the 232 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 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 ? z t  =  (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 reject fail to reject accept  the null hypothesis.
  5. Thus, the final conclusion is that ...
    • The data suggest the population proportion is not significantly larger than 59% 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 59%.
    • The data suggest the population proportion is not significantly larger than 59% 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 larger than 59%.
    • The data suggest the populaton proportion is significantly larger than 59% 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 larger than 59%.   
    • 6.) Interpret the p-value in the context of the study.
      • There is a 6.89% chance that more than 59% of all students who played intramural sports received a degree within six years.
      •  There is a 6.89% chance of a Type I error.
      • If the sample proportion of students who played intramural sports who received a degree within six years is 64% and if another 232 students who played intramural sports are surveyed then there would be a 6.89% chance of concluding that more than 59% of all students who played intramural sports received a degree within six years.
      • If the population proportion of students who played intramural sports who received a degree within six years is 59% and if another 232 students who played intramural sports are surveyed then there would be a 6.89% chance that more than 64% of the 232 students surveyed received a degree within six years
      • 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 larger than 59% and if another 232 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 59%.
        • 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 59% and if another 232 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 larger than 59%
        • There is a 1% chance that the proportion of all students who played intramural sports who received a degree within six years is larger than 59%.
    •  
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