53% of students entering four-year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 147 of the 262 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of αα = 0.10?   he 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.) The p-value =  (Please show your answer to 4 decimal places.)

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53% of students entering four-year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 147 of the 262 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. he 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. Thus, the final conclusion is that ...
    • The data suggest the population proportion is not significantly larger than 53% 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 53%.
    • The data suggest the populaton proportion is significantly larger than 53% 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 53%
    • The data suggest the population proportion is not significantly larger than 53% 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 53%.
  4. 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 53% and if another 262 students who played intramural sports are surveyed then there would be a 15.68% chance that more than 56% of the 262 students surveyed received a degree within six years
    •  There is a 15.68% chance of a Type I error.
    • If the sample proportion of students who played intramural sports who received a degree within six years is 56% and if another 262 students who played intramural sports are surveyed then there would be a 15.68% chance of concluding that more than 53% of all students who played intramural sports received a degree within six years.
    • There is a 15.68% chance that more than 53% of all students who played intramural sports received a degree within six years.
  5. 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 53% and if another 262 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 53%.
    • 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 53%.
    • 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 53% and if another 262 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 53%
  6.  
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