56% of students entering four-year colleges receive a degree within six years. Is this percent different from for students who play intramural sports? 126 of the 218 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of αα= 0.01?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 ααBased on this, we should the null hypothesis.Thus, the final conclusion is that ... The data suggest the population proportion is not significantly different from 56% at αα= 0.01, 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 56%.The data suggest the populaton proportion is significantly different from 56% at αα= 0.01, 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 56%The data suggest the population proportion is not significantly different from 56% at αα= 0.01, 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 56%.Interpret the p-value in the context of the study. There is a 59.28% chance of a Type I error.There is a 59.28% chance that the percent of all students who played intramural sports who received a degree within six years differs from 56%.If the population proportion of students who played intramural sports who received a degree within six years is 56% and if another 218 students who played intramural sports are surveyed then there would be a 59.28% chance that either more than 58% of the 218 studetns surveyed received a degree within six years or fewer than 54% of the 218 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 58% and if another 218 voters are surveyed then there would be a 59.28% chance that we would conclude either fewer than 56% of all students who played intramural sports received a degree within six years or more than 56% of all students who played intramural sports 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 56% and if another 218 students who played intramural sports are surveyed then there would be a 1% 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 56%.There is a 1% 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 56% and if another 218 students who played intramural sports are surveyed then there would be a 1% 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 56%There is a 1% chance that the proportion of all students who played intramural sports who received a degree within six years is different from 56%.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question

56% of students entering four-year colleges receive a degree within six years. Is this percent different from for students who play intramural sports? 126 of the 218 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of
α
α
= 0.01?
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
α
Based on this, we should the null hypothesis.
Thus, the final conclusion is that ...
The data suggest the population proportion is not significantly different from 56% at
α
α
= 0.01, 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 56%.
The data suggest the populaton proportion is significantly different from 56% at
α
α
= 0.01, 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 56%
The data suggest the population proportion is not significantly different from 56% at
α
α
= 0.01, 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 56%.
Interpret the p-value in the context of the study.
There is a 59.28% chance of a Type I error.
There is a 59.28% chance that the percent of all students who played intramural sports who received a degree within six years differs from 56%.
If the population proportion of students who played intramural sports who received a degree within six years is 56% and if another 218 students who played intramural sports are surveyed then there would be a 59.28% chance that either more than 58% of the 218 studetns surveyed received a degree within six years or fewer than 54% of the 218 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 58% and if another 218 voters are surveyed then there would be a 59.28% chance that we would conclude either fewer than 56% of all students who played intramural sports received a degree within six years or more than 56% of all students who played intramural sports 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 56% and if another 218 students who played intramural sports are surveyed then there would be a 1% 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 56%.
There is a 1% 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 56% and if another 218 students who played intramural sports are surveyed then there would be a 1% 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 56%
There is a 1% chance that the proportion of all students who played intramural sports who received a degree within six years is different from 56%.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Proportions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman