Answered: The p-value = (Please show your answer…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

52% of students entering four-year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 162 of the 266 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of αα = 0.05?

The p-value = (Please show your answer to 4 decimal places.)
The p-value is ____ α
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 52% 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 52%
The data suggest the population proportion is not significantly larger than 52% 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 52%.
The data suggest the population proportion is not significantly larger than 52% 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 52%.

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 61% and if another 266 students who played intramural sports are surveyed then there would be a 0.18% chance of concluding that more than 52% of all students who played intramural sports received a degree within six years.
There is a 0.18% chance that more than 52% of all students who played intramural sports received a degree within six years.
There is a 0.18% chance of a Type I error.
If the population proportion of students who played intramural sports who received a degree within six years is 52% and if another 266 students who played intramural sports are surveyed then there would be a 0.18% chance that more than 61% of the 266 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 larger than 52% and if another 266 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 52%.
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 52%.
If the population proportion of students who played intramural sports who received a degree within six years is 52% and if another 266 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 52%
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.

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