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53% of students entering four-year colleges receive a degree within six years. Is this percent smaller than for students who play intramural sports? 122 of the 235 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 Select an answer V] b. The null and alternative hypotheses would be: Ho: S (please enter a decimal) H1: ? v S (Please enter a decimal) c. The test statistic = [j (please show your answer to 3 decimal places.) cl. The p-value = S (Please show your answer to 4 decimal places.) e. The p-value is a ' f. Based on this, we should the null hypothesis. g. Thus, the final conclusion is that O The data suggest the population proportion is not significantly smaller than 53% 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 smaller than 53%. O The data suggest the population proportion is not significantly smaller than 53% 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 53%. O The data suggest the populaton proportion is significantly smaller than 53% 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 smaller than 53% h. Interpret the p-value in the context of the study. 0 If the sample proportion of students who played intramural sports who received a degree within six years is 52% and if another 235 such students are surveyed then there would be a 36.95% chance of concluding that fewer than 53% of all students who played intramural sports I} .3\