If the percent of all blonde college students who have a boyfriend is the same as the percent of all brunette college students who have a boyfriend and if another 639 blonde college students and 720 brunette college students are surveyed then there would be a 29.79% chance that the percent of the surveyed blonde college students who have a boyfriend would be at least 1.3% less than the percent of the surveyed brunette college students who have a boyfriend.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Are blonde female college students less likely to have boyfriends than brunette female college students? 446 of the 639 blondes surveyed had boyfriends and 512 of the 720 brunettes surveyed had boyfriends. What can be concluded at the αα = 0.10 level of significance?

  1. Interpret the p-value in the context of the study.
    • There is a 29.79% chance of a Type I error.
    • If the percent of all blonde college students who have a boyfriend is the same as the percent of all brunette college students who have a boyfriend and if another 639 blonde college students and 720 brunette college students are surveyed then there would be a 29.79% chance that the percent of the surveyed blonde college students who have a boyfriend would be at least 1.3% less than the percent of the surveyed brunette college students who have a boyfriend.
    • There is a 29.79% chance that blonde college students are 1.3% less likely than brunette college students to have a boyfriend.
    • If the sample proportion of blonde college students who have a boyfriend is the same as the sample proportion of brunette college students who have a boyfriend and if another another 639 blonde college students and 720 brunette college students are surveyed then there would be a 29.79% chance of concluding that blonde college students are at least 1.3% less likely than brunette college students to have a boyfriend
  2. Interpret the level of significance in the context of the study.
    • There is a 10% chance that there is a difference in the proportion of blonde and brunette college students who have a boyfriend.
    • If the percent of all blonde college students who have a boyfriend is the same as the percent of all brunette college students who have a boyfriend and if another 639 blonde college students and 720 brunette college students are surveyed then there would be a 10% chance that we would end up falsely concuding that the proportion of these surveyed blonde and brunette college students who have a boyfriend differ from each other.
    • If the percent of all blonde college students who have a boyfriend is the same as the percent of all brunette college students who have a boyfriend and if another 639 blonde college students and 720 brunette college students are surveyed then there would be a 10% chance that we would end up falsely concuding that the population proportion of blonde college students who have a boyfriend is less than the population proportion of brunette college students who have a boyfriend
    • There is a 10% chance that you will never get a boyfriend unless you dye your hair blonde.
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