concluding that the proportion of all students who played intramural sports who received a degree within six years is equal to 57%. If the population proportion of students who played intramural sports who received a degree within six years is 57% and if another 204 students who played intramural sports are surveyed then there would be a 5% 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%

57% of students entering four-year colleges receive a degree within six years. Is this percent different from for students who play intramural sports? 118 of the 204 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of αα = 0.05?

The null and alternative hypotheses would be:    
 Ho:    p=  __?__  (please enter a decimal)

  
 H₁:   p ( is greater than, equal to  or not equal to)      please provide number as well  (Please enter a decimal)

1. The test statistic    z= __?__ (please show your answer to 3 decimal places.)

1. The p-value = __?__ (Please show your answer to 4 decimal places.)

1. Thus, the final conclusion is that ...Please choose one from each catergory

1. • The data suggest the populaton proportion is significantly different from 57% at αα = 0.05, 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 = 0.05, 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%.
   • The data suggest the population proportion is not significantly different from 57% at αα = 0.05, 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%.
2. 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 58% and if another 204 voters are surveyed then there would be a 80.78% 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.
   • If the population proportion of students who played intramural sports who received a degree within six years is 57% and if another 204 students who played intramural sports are surveyed then there would be a 80.78% chance that either more than 58% of the 204 studetns surveyed received a degree within six years or fewer than 56% of the 204 students surveyed received a degree within six years.
   • There is a 80.78% chance that the percent of all students who played intramural sports who received a degree within six years differs from 57%.
   • There is a 80.78% chance of a Type I error.
3. Interpret the level of significance in the context of the study.
   • There is a 5% chance that the proportion of all students who played intramural sports who received a degree within six years is different from 57%.
   • There is a 5% 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 different from 57% and if another 204 students who played intramural sports are surveyed then there would be a 5% 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%.
   • If the population proportion of students who played intramural sports who received a degree within six years is 57% and if another 204 students who played intramural sports are surveyed then there would be a 5% 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%