60% of students entering four-year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 126 of the 204 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: ? p μ  Select an answer = < > ≠   (please enter a decimal)
H₁: ? p μ  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 ? ≤ >  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 populaton proportion is significantly larger than 60% 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 larger than 60%

The data suggest the population proportion is not significantly larger than 60% 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 60%.

The data suggest the population proportion is not significantly larger than 60% 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 larger than 60%.

Interpret the p-value in the context of the study.

If the sample proportion of students who played intramural sports who received a degree within six years is 62% and if another 204 students who played intramural sports are surveyed then there would be a 30.35% chance of concluding that more than 60% of all students who played intramural sports received a degree within six years.

There is a 30.35% chance that more than 60% 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 60% and if another 204 students who played intramural sports are surveyed then there would be a 30.35% chance that more than 62% of the 204 students surveyed received a degree within six years

There is a 30.35% chance of a Type I error.

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.

There is a 10% chance that the proportion of all students who played intramural sports who received a degree within six years is larger than 60%.

If the population proportion of students who played intramural sports who received a degree within six years is 60% and if another 204 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 larger than 60%

If the population proportion of students who played intramural sports who received a degree within six years is larger than 60% and if another 204 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 60%.

Name: 60% of students entering four-year colleges receive a degree within si
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: 60% of students entering four-year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 126 of the 204 students who played intramural sports received a degree within six years. What can be c

Question

60% of students entering four-year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 126 of the 204 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: ? p μ Select an answer = < > ≠ (please enter a decimal)
H₁: ? p μ 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 ? ≤ > 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 populaton proportion is significantly larger than 60% 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 larger than 60%
- The data suggest the population proportion is not significantly larger than 60% 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 60%.
- The data suggest the population proportion is not significantly larger than 60% 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 larger than 60%.
Interpret the p-value in the context of the study.
- If the sample proportion of students who played intramural sports who received a degree within six years is 62% and if another 204 students who played intramural sports are surveyed then there would be a 30.35% chance of concluding that more than 60% of all students who played intramural sports received a degree within six years.
- There is a 30.35% chance that more than 60% 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 60% and if another 204 students who played intramural sports are surveyed then there would be a 30.35% chance that more than 62% of the 204 students surveyed received a degree within six years
- There is a 30.35% chance of a Type I error.
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.
- There is a 10% chance that the proportion of all students who played intramural sports who received a degree within six years is larger than 60%.
- If the population proportion of students who played intramural sports who received a degree within six years is 60% and if another 204 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 larger than 60%
- If the population proportion of students who played intramural sports who received a degree within six years is larger than 60% and if another 204 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 60%.

Accepted Answer

Note- As per our policy we can answer only the first 3 sub-parts of a question. If you want…