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? 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%.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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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?
  1. 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.
  2. 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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