59% of students entering four-year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 148 of the 232 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 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 ? z t = (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 reject fail to reject accept the null hypothesis.Thus, the final conclusion is that ...The data suggest the population proportion is not significantly larger than 59% 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 59%.The data suggest the population proportion is not significantly larger than 59% 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 larger than 59%.The data suggest the populaton proportion is significantly larger than 59% 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 larger than 59%. 6.) Interpret the p-value in the context of the study.There is a 6.89% chance that more than 59% of all students who played intramural sports received a degree within six years. There is a 6.89% chance of a Type I error.If the sample proportion of students who played intramural sports who received a degree within six years is 64% and if another 232 students who played intramural sports are surveyed then there would be a 6.89% chance of concluding that more than 59% 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 59% and if another 232 students who played intramural sports are surveyed then there would be a 6.89% chance that more than 64% of the 232 students surveyed received a degree within six years7.) 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 larger than 59% and if another 232 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 59%.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 59% and if another 232 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 larger than 59%There is a 1% chance that the proportion of all students who played intramural sports who received a degree within six years is larger than 59%.

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MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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59% of students entering four-year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 148 of the 232 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 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 ? z t = (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 reject fail to reject accept the null hypothesis.
Thus, the final conclusion is that ...
- The data suggest the population proportion is not significantly larger than 59% 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 59%.
- The data suggest the population proportion is not significantly larger than 59% 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 larger than 59%.
- The data suggest the populaton proportion is significantly larger than 59% 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 larger than 59%.
- 6.) Interpret the p-value in the context of the study.
  - There is a 6.89% chance that more than 59% of all students who played intramural sports received a degree within six years.
  - There is a 6.89% chance of a Type I error.
  - If the sample proportion of students who played intramural sports who received a degree within six years is 64% and if another 232 students who played intramural sports are surveyed then there would be a 6.89% chance of concluding that more than 59% 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 59% and if another 232 students who played intramural sports are surveyed then there would be a 6.89% chance that more than 64% of the 232 students surveyed received a degree within six years
  - 7.) 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 larger than 59% and if another 232 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 59%.
    
    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 59% and if another 232 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 larger than 59%
    
    There is a 1% chance that the proportion of all students who played intramural sports who received a degree within six years is larger than 59%.

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