56% of students entering four-year colleges receive a degree within six years. Is this percent smaller than for students who play intramural sports? 119 of the 243 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of αα = 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: ? μ p Select an answer > ≠ < = (please enter a decimal) H1: ? μ p Select an answer > = < ≠ (Please enter a decimal)The test statistic ? t z = (please show your answer to 3 decimal places.)The p-value = (Please show your answer to 4 decimal places.)The p-value is ? ≤ > ααBased on this, we should Select an answer accept fail to reject reject the null hypothesis.Thus, the final conclusion is that ...The data suggest the populaton proportion is significantly smaller than 56% at αα = 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 56%The data suggest the population proportion is not significantly smaller than 56% at αα = 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 56%.The data suggest the population proportion is not significantly smaller than 56% at αα = 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 56%.Interpret the p-value in the context of the study.There is a 1.36% chance that fewer than 56% of all students who played intramural sports graduate within six years.If the sample proportion of students who played intramural sports who received a degree within six years is 49% and if another 243 such students are surveyed then there would be a 1.36% chance of concluding that fewer than 56% of all students who played intramural sports received a degree within six years.There is a 56% chance of a Type I error.If the population proportion of students who played intramural sports who received a degree within six years is 56% and if another 243 students who played intramural sports are surveyed then there would be a 1.36% chance fewer than 49% of the 243 students surveyed received a degree within six years.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 56% and if another 243 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 56%.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 56%.If the population proportion of students who played intramural sports who received a degree within six years is 56% and if another 243 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 56%

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56% of students entering four-year colleges receive a degree within six years. Is this percent smaller than for students who play intramural sports? 119 of the 243 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of αα = 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: ? μ p Select an answer > ≠ < = (please enter a decimal)
H₁: ? μ p Select an answer > = < ≠ (Please enter a decimal)

The test statistic ? t z = (please show your answer to 3 decimal places.)
The p-value = (Please show your answer to 4 decimal places.)
The p-value is ? ≤ > αα
Based on this, we should Select an answer accept fail to reject reject the null hypothesis.
Thus, the final conclusion is that ...
- The data suggest the populaton proportion is significantly smaller than 56% at αα = 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 56%
- The data suggest the population proportion is not significantly smaller than 56% at αα = 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 56%.
- The data suggest the population proportion is not significantly smaller than 56% at αα = 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 56%.
Interpret the p-value in the context of the study.
- There is a 1.36% chance that fewer than 56% of all students who played intramural sports graduate within six years.
- If the sample proportion of students who played intramural sports who received a degree within six years is 49% and if another 243 such students are surveyed then there would be a 1.36% chance of concluding that fewer than 56% of all students who played intramural sports received a degree within six years.
- There is a 56% chance of a Type I error.
- If the population proportion of students who played intramural sports who received a degree within six years is 56% and if another 243 students who played intramural sports are surveyed then there would be a 1.36% chance fewer than 49% of the 243 students surveyed received a degree within six years.
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 56% and if another 243 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 56%.
- 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 56%.
- If the population proportion of students who played intramural sports who received a degree within six years is 56% and if another 243 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 56%

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