58% of students entering four-year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 187 of the 279 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of αα = 0.05? The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) 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 279 students who played intramural sports are surveyed then there would be a 0.11% chance that more than 67% of the 279 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 67% and if another 279 students who played intramural sports are surveyed then there would be a 0.11% chance of concluding that more than 58% of all students who played intramural sports received a degree within six years. There is a 0.11% chance of a Type I error. There is a 0.11% chance that more than 58% of all students who played intramural sports received a degree within six years.

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 larger than for students who play intramural sports? 187 of the 279 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of αα = 0.05?

  1. The test statistic    = (please show your answer to 3 decimal places.)
  2. The p-value =  (Please show your answer to 4 decimal places.)
  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 279 students who played intramural sports are surveyed then there would be a 0.11% chance that more than 67% of the 279 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 67% and if another 279 students who played intramural sports are surveyed then there would be a 0.11% chance of concluding that more than 58% of all students who played intramural sports received a degree within six years.
    •  There is a 0.11% chance of a Type I error.
    • There is a 0.11% chance that more than 58% of all students who played intramural sports received a degree within six years.
  4.  
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