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59% of students entering four-year colleges receive a degree within six years. Is this percent different from for students who play intramural sports? 123
59% of students entering four-year colleges receive a degree within six years. Is this percent different from for students who play intramural sports? 123 of the 241 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 a Select an answer b. The null and alternative hypotheses would be: c. The test statistic is ? d. The p-value is p = e. The p-value is ? a f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that... The data suggest the populaton proportion is significantly different from 59% 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 different from 59%. The data suggest the population proportion is not significantly different from 59% 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 different from 59%. The data suggest the population proportion is not significantly different from 59% 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 59%. h. Interpret the p-value in the context of the study. There is a 1.2% chance that the percent of all students who played intramural sports who received a degree within six years differs from 59%. There is a 1.2% chance of a Type I error. If the sample proportion of students who played intramural sports who received a degree within six years is 51% and if another 241 students who played intramural sports are surveyed then there would be a 1.2% chance that we would conclude either fewer than 59% of all students who played intramural sports received a degree within six years or more than 59% 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 59% and if another 241 students who played intramural sports are surveyed then there would be a 1.2% chance that either fewer than 51% of the 241 students surveyed students received a degree within six years or more than 67% of the 241 students surveyed received a degree within six years. i. Interpret the level of significance in the context of the study. 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 59% and if another 241 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 different from 59%. If the population proportion of students who played intramural sports who received a degree within six years is different from 59% and if another 241 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 59%. There is a 10% chance that the proportion of all students who played intramural sports who received a degree within six years is different from 59%.
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