58% of students entering four-year colleges receive a degree within six years. Is this percent smaller than for students who play intramural sports? 121 of the 228 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of αα = 0.01? e. The p-value is ? ≤ >  αα Based on this, we should Select an answer fail to reject accept reject  the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly smaller than 58% 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 58%. The data suggest the population proportion is not significantly smaller than 58% 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 smaller than 58%. The data suggest the populaton proportion is significantly smaller than 58% 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 smaller than 58% 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 58% and if another 228 students who played intramural sports are surveyed then there would be a 6.58% chance fewer than 53% of the 228 students surveyed received a degree within six years. There is a 6.58% chance that fewer than 58% of all students who played intramural sports graduate within six years. There is a 58% chance of a Type I error. If the sample proportion of students who played intramural sports who received a degree within six years is 53% and if another 228 such students are surveyed then there would be a 6.58% chance of concluding that fewer than 58% of all students who played intramural sports received a degree within six years. Interpret the level of significance in the context of the study. 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 58% and if another 228 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 smaller than 58% There is a 1% chance that the proportion of all students who played intramural sports who received a degree within six years is smaller than 58%. If the population proportion of students who played intramural sports who received a degree within six years is smaller than 58% and if another 228 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 58%.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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      58% of students entering four-year colleges receive a degree within six years. Is this percent smaller than for students who play intramural sports? 121 of the 228 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of αα = 0.01?
    e. The p-value is ? ≤ >  αα
  1. Based on this, we should Select an answer fail to reject accept reject  the null hypothesis.
  2. Thus, the final conclusion is that ...
    • The data suggest the population proportion is not significantly smaller than 58% 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 58%.
    • The data suggest the population proportion is not significantly smaller than 58% 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 smaller than 58%.
    • The data suggest the populaton proportion is significantly smaller than 58% 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 smaller than 58%
  3. 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 58% and if another 228 students who played intramural sports are surveyed then there would be a 6.58% chance fewer than 53% of the 228 students surveyed received a degree within six years.
    • There is a 6.58% chance that fewer than 58% of all students who played intramural sports graduate within six years.
    • There is a 58% chance of a Type I error.
    • If the sample proportion of students who played intramural sports who received a degree within six years is 53% and if another 228 such students are surveyed then there would be a 6.58% chance of concluding that fewer than 58% of all students who played intramural sports received a degree within six years.
  4. Interpret the level of significance in the context of the study.
    • 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 58% and if another 228 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 smaller than 58%
    • There is a 1% chance that the proportion of all students who played intramural sports who received a degree within six years is smaller than 58%.
    • If the population proportion of students who played intramural sports who received a degree within six years is smaller than 58% and if another 228 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 58%.
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