57% of students entering four-year colleges receive a degree within six years. Is this percent different from for students who play intramural sports? 153 of the 232 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of α= 0.05?For this study, we should useThe null and alternative hypotheses would be: Ho: (please enter a decimal) H1:(Please enter a decimal)The test statistic= (please show your answer to 3 decimal places.)The p-value = (Please show your answer to 4 decimal places.)The p-value isα Based on this, we shouldthe null hypothesis.Thus, the final conclusion is that ...The data suggest the populaton proportion is significantly different from 57% at α= 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 α= 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 α= 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.There is a 0.6% chance of a Type I error.There is a 0.6% chance that the percent of all students who played intramural sports who received a degree within six years differs from 57%.If the sample proportion of students who played intramural sports who received a degree within six years is 66% and if another 232 voters are surveyed then there would be a 0.6% 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 232 students who played intramural sports are surveyed then there would be a 0.6% chance that either more than 66% of the 232 studetns surveyed received a degree within six years or fewer than 48% of the 232 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 different from 57% and if another 232 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 232 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%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.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%.

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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? 153 of the 232 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of α = 0.05? For this study, we should use The null and alternative hypotheses would be: Ho: (please enter a decimal) H1: (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is α Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the populaton proportion is significantly different from 57% at α = 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 α = 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 α = 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%.

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

57% of students entering four-year colleges receive a degree within six years. Is this percent different from for students who play intramural sports? 153 of the 232 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of α

= 0.05?

For this study, we should use

The null and alternative hypotheses would be:
Ho: (please enter a decimal)
H₁:

(Please enter a decimal)

The test statistic
= (please show your answer to 3 decimal places.)
The p-value = (Please show your answer to 4 decimal places.)
The p-value is

Based on this, we should
the null hypothesis.
Thus, the final conclusion is that ...
- The data suggest the populaton proportion is significantly different from 57% at α
= 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 α
= 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 α
- = 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.
- There is a 0.6% chance of a Type I error.
- There is a 0.6% chance that the percent of all students who played intramural sports who received a degree within six years differs from 57%.
- If the sample proportion of students who played intramural sports who received a degree within six years is 66% and if another 232 voters are surveyed then there would be a 0.6% 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 232 students who played intramural sports are surveyed then there would be a 0.6% chance that either more than 66% of the 232 studetns surveyed received a degree within six years or fewer than 48% of the 232 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 different from 57% and if another 232 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 232 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%
- 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.
- 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%.

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