55% of students entering four-year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 164 of the 260 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of

= 0.10?

1. For this study, we should useSelect an answert-test for a population meanz-test for a population proportion
2. The null and alternative hypotheses would be:
3. Ho:?pSelect an answer=><(please enter a decimal)
4. H₁:?pSelect an answer><=(Please enter a decimal)
5. The test statistic?tz=(please show your answer to 3 decimal places.)
6. The p-value =(Please show your answer to 4 decimal places.)
7. The p-value is?>
9. Based on this, we shouldSelect an answeracceptrejectfail to rejectthe null hypothesis.
10. Thus, the final conclusion is that ...

• The data suggest the populaton proportion issignificantlylarger than 55% at
• = 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 55%
• The data suggest the population proportion is notsignificantlylarger than 55% at
• = 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 55%.
• The data suggest the population proportion is notsignificantlylarger than 55% at
• = 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 55%.

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

• There is a 0.44% chance of a Type I error.
• If the sample proportion of students who played intramural sports who received a degree within six years is 63% and if another 260 students who played intramural sports are surveyed then there would be a 0.44% chance of concluding that more than 55% 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 55% and if another 260 students who played intramural sports are surveyed then there would be a 0.44% chance that more than 63% of the 260 students surveyed received a degree within six years
• There is a 0.44% chance that more than 55% of all students who played intramural sports received a degree within six years.

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

• 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 55%.
• If the population proportion of students who played intramural sports who received a degree within six years is 55% and if another 260 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 55%
• 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 larger than 55% and if another 260 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 55%.