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 204 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 different from 57%
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 204 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 different from 57%
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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57% of students entering four-year colleges receive a degree within six years. Is this percent different from for students who play intramural sports? 118 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 = 0.05?
The null and alternative hypotheses would be:
Ho: p= __?__ (please enter a decimal)
H1: p ( is greater than, equal to or not equal to) please provide number as well (Please enter a decimal)
- The test statistic z= __?__ (please show your answer to 3 decimal places.)
- The p-value = __?__ (Please show your answer to 4 decimal places.)
- Thus, the final conclusion is that ...Please choose one from each catergory
-
- The data suggest the populaton proportion is significantly different from 57% 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 different from 57%
- The data suggest the population proportion is not significantly different from 57% 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 57%.
- The data suggest the population proportion is not significantly different from 57% 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 different from 57%.
- 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 58% and if another 204 voters are surveyed then there would be a 80.78% chance that we would conclude either fewer than 57% of all students who played intramural sports received a degree within six years or more than 57% 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 57% and if another 204 students who played intramural sports are surveyed then there would be a 80.78% chance that either more than 58% of the 204 studetns surveyed received a degree within six years or fewer than 56% of the 204 students surveyed received a degree within six years.
- There is a 80.78% chance that the percent of all students who played intramural sports who received a degree within six years differs from 57%.
- There is a 80.78% chance of a Type I error.
- Interpret the level of significance in the context of the study.
- There is a 5% chance that the proportion of all students who played intramural sports who received a degree within six years is different from 57%.
- 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 different from 57% and if another 204 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 57%.
- If the population proportion of students who played intramural sports who received a degree within six years is 57% and if another 204 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 different from 57%
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