Question

50% of students entering four-year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 148 of the 269 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of αα = 0.05?

- 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 ? ≠ = < > (please enter a decimal)

H_{1}: ? p μ ? > < = ≠ (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 fail to reject accept reject the null hypothesis.
- Thus, the final conclusion is that ...
- The data suggest the population proportion is not
**significantly**larger than 50% at αα = 0.05, 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%. - The data suggest the population proportion is not
**significantly**larger than 50% at αα = 0.05, 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 larger than 50%. - The data suggest the populaton proportion is
**significantly**larger than 50% at αα = 0.05, 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 larger than 50%

- The data suggest the population proportion is not
- Interpret the p-value in the context of the study.
- There is a 4.99% chance that more than 50% 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 50% and if another 269 students who played intramural sports are surveyed then there would be a 4.99% chance that more than 55% of the 269 students surveyed received a degree within six years
- If the sample proportion of students who played intramural sports who received a degree within six years is 55% and if another 269 students who played intramural sports are surveyed then there would be a 4.99% chance of concluding that more than 50% of all students who played intramural sports received a degree within six years.
- There is a 4.99% chance of a Type I error.

- Interpret the level of significance in the context of the
study.
- There is a 5% 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 larger than 50% and if another 269 students who played intramural sports are surveyed then there would be a 5% 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 50%.
- There is a 5% chance that the proportion of all students who played intramural sports who received a degree within six years is larger than 50%.
- If the population proportion of students who played intramural sports who received a degree within six years is 50% and if another 269 students who played intramural sports are surveyed then there would be a 5% 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 larger than 50%

Answer #1

**( g ) Answer :**

**The data suggest the populaton proportion is significantly larger than 50% at αα = 0.05, 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 larger than 50%**

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b. The null and alternative hypotheses would be:
Ho: ( p, μ) (...

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