Chapter 6, Section 4-HT, Exercise 215 - MathPad Gender Bias In a study1 examining gender bias, a nationwide sample of 127 science professors evaluated the application materials of an undergraduate student who had ostensibly applied for a laboratory manager position. All participants received the same materials, which were randomly assigned either the name of a male (nm=63) or the name of a female (nf=64). Participants believed that they were giving feedback to the applicant, including what salary could be expected. The average salary recommended for the male applicant was $30,238 with a standard deviation of $5152 while the average salary recommended for the (identical) female applicant was $26,508 with a standard deviation of $7348. Does this provide evidence of a gender bias, in which applicants with male names are given higher recommended salaries than applicants with female names? Let group 1 and group 2 be the salary recommended for male applicants and female applicants, respectively. 1Moss-Racusin, C.A., et al., “Science faculty’s subtle gender biases favor male students,” Proceedings of the National Academy of Sciences, 109(41), October 9, 2012, 16764–479. State the null and alternative hypotheses. Your answer should be an expression composed of symbols: =,≠,<,>,μ,μ1,μ2,p,p1,p2,ρ,p^,p^1,p^2,r. H0: vs Ha:Edit Calculate the relevant test statistic. Round your answer to three decimal places. t-statistic = Enter your answer in accordance to the question statement the absolute tolerance is +/-0.02 Find the p-value. Round your answer to four decimal places. p-value = Enter your answer in accordance to the question statement the absolute tolerance is +/-0.0008 What is the conclusion? Reject H0. Do not reject H0.
Chapter 6, Section 4-HT, Exercise 215 - MathPad Gender Bias In a study1 examining gender bias, a nationwide sample of 127 science professors evaluated the application materials of an undergraduate student who had ostensibly applied for a laboratory manager position. All participants received the same materials, which were randomly assigned either the name of a male (nm=63) or the name of a female (nf=64). Participants believed that they were giving feedback to the applicant, including what salary could be expected. The average salary recommended for the male applicant was $30,238 with a standard deviation of $5152 while the average salary recommended for the (identical) female applicant was $26,508 with a standard deviation of $7348. Does this provide evidence of a gender bias, in which applicants with male names are given higher recommended salaries than applicants with female names? Let group 1 and group 2 be the salary recommended for male applicants and female applicants, respectively. 1Moss-Racusin, C.A., et al., “Science faculty’s subtle gender biases favor male students,” Proceedings of the National Academy of Sciences, 109(41), October 9, 2012, 16764–479. State the null and alternative hypotheses. Your answer should be an expression composed of symbols: =,≠,<,>,μ,μ1,μ2,p,p1,p2,ρ,p^,p^1,p^2,r. H0: vs Ha:Edit Calculate the relevant test statistic. Round your answer to three decimal places. t-statistic = Enter your answer in accordance to the question statement the absolute tolerance is +/-0.02 Find the p-value. Round your answer to four decimal places. p-value = Enter your answer in accordance to the question statement the absolute tolerance is +/-0.0008 What is the conclusion? Reject H0. Do not reject H0.
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
Related questions
Question
|
|
|
|
|
|
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Knowledge Booster
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.Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill