52% of students entering four-year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 129 of the 231 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of a = 0.01? a. For this study, we should use z-test for a population proportion b. The null and altermative hypotheses would be: Ho: p 0.52 (please enter a decimal) H: [pv< 0.52 (Please enter a decimal) c. The test statistic V= 1.56 (please show your answer to 3 decimal places.) d. The p-value = 0.0594 e. The p-value is >va f. Based on this, we should accept g. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) the null hypothesis. O The data suggest the population proportion is not significantly larger than 52% at a = 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 52%. O The data suggest the populaton proportion is significantly larger than 52% at a = 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 52% O The data suggest the population proportion is not significantly larger than 52% at a = 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 52%. h. Interpret the p-value in the context of the study. O lf the sample proportion of students who played intramural sports who received a degree within six years is 56% and if another 231 students who played intramural sports are surveyed then there would be a 12.11% chance of concluding that more than 52% of all students who played intramural sports received a degree within six years. There is a 12.11% chance of a Type l error. O There is a 12.11% chance that more than 52% of all students who played intramural sports received a degree within six years. O f the population proportion of students who played intramural sports who received a degree within six years is 52% and if another 231 students who played intramural sports are surveyed then there would be a 12.11% chance that more than 56% of the 231 students surveyed received a degree within six years i. Interpret the level of significance in the context of the study. O f the population proportion of students who played intramural sports who received a degree within six years is 52% and if another 231 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 52%