50% of students entering four-year colleges receive a degree within six years. Is this percent smaller than for students who play intramural sports? 106 of the 230 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of a = 0.10? a. For this study, we should use |Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answer V (please enter a decimal) H1 : 7 \\ Select an answer v Please enter a decimal) c. The test statistic ? ~ | = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? a f. Based on this, we should | Select an answer V | the null hypothesis. g. Thus, the final conclusion is that . . The data suggest the populaton proportion is significantly smaller than 50s at a = 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 smaller than 50% The data suggest the population proportion is not significantly smaller than 50% at a = 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 smaller than 50%. The data suggest the population proportion is not significantly smaller than 50% at a = 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 50%. h. 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 46 5 and if another 230 such students are surveyed then there would be a 11.76% chance of concluding that fewer than 50% of all students who played intramural sports received a degree within six years. There is a 11.76% chance that fewer than 50% of all students who played intramural sports graduate within six years. If the population proportion of students who played intramural sports who received a degree within six years is 50% and if another 230 students who played intramural sports are surveyed then there would be a 11.76% chance fewer than 46% of the 230 students surveyed received a degree within six years. There is a 50% chance of a Type | error. i. 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 smaller than 50# and if another 230 students who played intramural sports are surveyed then there would be a toxic