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57% of students entering four-year colleges receive a degree within six years. Is this percent smaller than for students who play intramural sports? 131 of
57% of students entering four-year colleges receive a degree within six years. Is this percent smaller than for students who play intramural sports? 131 of the 268 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of = 0.10?
- For this study, we should use Select an answer z-test for a population proportion t-test for a population mean
- The null and alternative hypotheses would be: Ho: ? p Select an answer > = < (please enter a decimal) H1: ? p Select an answer < = > (Please enter a decimal)
- The test statistic ? z t = (please show your answer to 3 decimal places.)
- The p-value = (Please show your answer to 4 decimal places.)
- The p-value is ? >
- Based on this, we should Select an answer reject fail to reject accept the null hypothesis.
- Thus, the final conclusion is that ...
- Interpret the p-value in the context of the study.
- Interpret the level of significance in the context of the study.
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- If the population proportion of students who played intramural sports who received a degree within six years is smaller than 57% and if another 268 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 57%.
- If the population proportion of students who played intramural sports who received a degree within six years is 57% and if another 268 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 smaller than 57%
- 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.
- There is a 10% chance that the proportion of all students who played intramural sports who received a degree within six years is smaller than 57%.
- If the sample proportion of students who played intramural sports who received a degree within six years is 49% and if another 268 such students are surveyed then there would be a 0.36% chance of concluding that fewer than 57% of all students who played intramural sports received a degree within six years.
- There is a 57% chance of a Type I error.
- There is a 0.36% chance that fewer than 57% 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 57% and if another 268 students who played intramural sports are surveyed then there would be a 0.36% chance fewer than 49% of the 268 students surveyed received a degree within six years.
- The data suggest the populaton proportion is significantly smaller than 57% 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 smaller than 57%
- The data suggest the population proportion is not significantly smaller than 57% 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 57%.
- The data suggest the population proportion is not significantly smaller than 57% 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 smaller than 57%.
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