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 ? ≤ > ααBased 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.

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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

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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.

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