54% of students entering four-year colleges receive a degree within six years. Is this percent different from for students who play intramural sports? 154 of the 261 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: ? μ p Select an answer = > < ≠ (Please enter a decimal) The test statistic ? t z = (please show your answer to 3 decimal places.)

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Description: 54% of students entering four-year colleges receive a degree within six years. Is this percent different from for students who play intramural sports? 154 of the 261 students who played intramural sports received a degree within six years. What can b

Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for you. To get remaining sub-part solved please repost the complete question and mention the sub-parts to be solved. 1. Since, it is the proportion test with sample size greater than 30 and comparison is to be made, use z test for population proportion.2.To test:H0:p=0.54H1:p≠0.54where p is the population proportion3. Given: n=261 and x=154Then,p^=xn=154261=0.59 The test statistic isz=p^-p0p01-p0n=0.59-0.540.541-0.54261=0.050.03085=1.6207=1.621 Rounded to 3 decimal places

Answered: 54% of students entering four-year colleges receive a degree within six years. Is this percent different from for students who play intramural sports? 154 of…

MATLAB: An Introduction with Applications

6th Edition

ISBN: 9781119256830

Author: Amos Gilat

Publisher: John Wiley & Sons Inc

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Concept explainers

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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54% of students entering four-year colleges receive a degree within six years. Is this percent different from for students who play intramural sports? 154 of the 261 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: ? μ p Select an answer = > < ≠ (Please enter a decimal)

The test statistic ? t z = (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 reject accept the null hypothesis.
Thus, the final conclusion is that ...
- The data suggest the populaton proportion is significantly different from 54% 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 different from 54%
- The data suggest the population proportion is not significantly different from 54% 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 54%.
- The data suggest the population proportion is not significantly different from 54% 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 different from 54%.
Interpret the p-value in the context of the study.
- If the population proportion of students who played intramural sports who received a degree within six years is 54% and if another 261 students who played intramural sports are surveyed then there would be a 10.48% chance that either more than 59% of the 261 studetns surveyed received a degree within six years or fewer than 49% of the 261 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 59% and if another 261 voters are surveyed then there would be a 10.48% chance that we would conclude either fewer than 54% of all students who played intramural sports received a degree within six years or more than 54% of all students who played intramural sports received a degree within six years.
- There is a 10.48% chance of a Type I error.
- There is a 10.48% chance that the percent of all students who played intramural sports who received a degree within six years differs from 54%.
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 54% and if another 261 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 54%.
- There is a 10% chance that the proportion of all students who played intramural sports who received a degree within six years is different from 54%.
- If the population proportion of students who played intramural sports who received a degree within six years is 54% and if another 261 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 different from 54%
- 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.