Are blonde female college students more likely to have boyfriends than brunette female college students? 405 of the 663 blondes surveyed had boyfriends and 452 of the 763 brunettes surveyed had boyfriends. What can be concluded at the αα = 0.05 level of significance? For this study, we should use Select an answer z-test for the difference between two population proportions t-test for the difference between two independent population means t-test for the difference between two dependent population means z-test for a population proportion t-test for a population mean  The null and alternative hypotheses would be:        H0:H0:  Select an answer μ1 p1  Select an answer > ≠ < =  Select an answer μ2 p2  (please enter a decimal)     H1:H1:  Select an answer μ1 p1  Select an answer ≠ = < >  Select an answer μ2 p2  (Please enter a decimal) The test statistic ? t z  =  (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 fail to reject accept reject  the null hypothesis. Thus, the final conclusion is that ... The results are statistically insignificant at αα = 0.05, so we can conclude that the population proportion of blonde college students who have a boyfriend is equal to the population proportion of brunette college students who have a boyfriend. The results are statistically insignificant at αα = 0.05, so there is insufficient evidence to conclude that the population proportion of blonde college students who have a boyfriend is greater than the population proportion of brunette college students who have a boyfriend. The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the population proportion of blonde college students who have a boyfriend is greater than the population proportion of brunette college students who have a boyfriend. The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the proportion of the 663 blonde college students who have a boyfriend is greater than the proportion of the 763 brunette college students who have a boyfriend. Interpret the p-value in the context of the study. There is a 23.88% chance of a Type I error. There is a 23.88% chance that blonde college students are 1.8% more likely than brunette college students to 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 663 blonde college students and 763 brunette college students are surveyed then there would be a 23.88% chance that the percent of the surveyed blonde college students who have a boyfriend would be at least 1.8% more than the percent of the surveyed brunette college students who 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 663 blonde college students and 763 brunette college students are surveyed then there would be a 23.88% chance of concluding that blonde college students are at least 1.8% more likely than brunette college students to have a boyfriend Interpret the level of significance in the context of the study. 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 663 blonde college students and 763 brunette college students are surveyed then there would be a 5% chance that we would end up falsely concuding that the population proportion of blonde college students who have a boyfriend is greater than the population proportion of 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 663 blonde college students and 763 brunette college students are surveyed then there would be a 5% 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. There is a 5% chance that there is a difference in the proportion of blonde and brunette college students who have a boyfriend. There is a 5% chance that you will never get a boyfriend unless you dye your hair blonde.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question

Are blonde female college students more likely to have boyfriends than brunette female college students? 405 of the 663 blondes surveyed had boyfriends and 452 of the 763 brunettes surveyed had boyfriends. What can be concluded at the αα = 0.05 level of significance?

For this study, we should use Select an answer z-test for the difference between two population proportions t-test for the difference between two independent population means t-test for the difference between two dependent population means z-test for a population proportion t-test for a population mean 

  1. The null and alternative hypotheses would be:   
  2.   

 H0:H0:  Select an answer μ1 p1  Select an answer > ≠ < =  Select an answer μ2 p2  (please enter a decimal)   

 H1:H1:  Select an answer μ1 p1  Select an answer ≠ = < >  Select an answer μ2 p2  (Please enter a decimal)

  1. The test statistic ? t z  =  (please show your answer to 3 decimal places.)
  2. The p-value =  (Please show your answer to 4 decimal places.)
  3. The p-value is ? > ≤  αα
  4. Based on this, we should Select an answer fail to reject accept reject  the null hypothesis.
  5. Thus, the final conclusion is that ...
    • The results are statistically insignificant at αα = 0.05, so we can conclude that the population proportion of blonde college students who have a boyfriend is equal to the population proportion of brunette college students who have a boyfriend.
    • The results are statistically insignificant at αα = 0.05, so there is insufficient evidence to conclude that the population proportion of blonde college students who have a boyfriend is greater than the population proportion of brunette college students who have a boyfriend.
    • The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the population proportion of blonde college students who have a boyfriend is greater than the population proportion of brunette college students who have a boyfriend.
    • The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the proportion of the 663 blonde college students who have a boyfriend is greater than the proportion of the 763 brunette college students who have a boyfriend.
  6. Interpret the p-value in the context of the study.
    • There is a 23.88% chance of a Type I error.
    • There is a 23.88% chance that blonde college students are 1.8% more likely than brunette college students to 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 663 blonde college students and 763 brunette college students are surveyed then there would be a 23.88% chance that the percent of the surveyed blonde college students who have a boyfriend would be at least 1.8% more than the percent of the surveyed brunette college students who 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 663 blonde college students and 763 brunette college students are surveyed then there would be a 23.88% chance of concluding that blonde college students are at least 1.8% more likely than brunette college students to have a boyfriend
  7. Interpret the level of significance in the context of the study.
    • 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 663 blonde college students and 763 brunette college students are surveyed then there would be a 5% chance that we would end up falsely concuding that the population proportion of blonde college students who have a boyfriend is greater than the population proportion of 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 663 blonde college students and 763 brunette college students are surveyed then there would be a 5% 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.
    • There is a 5% chance that there is a difference in the proportion of blonde and brunette college students who have a boyfriend.
    • There is a 5% chance that you will never get a boyfriend unless you dye your hair blonde.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman