In a study 1 examining gender bias, a nationwide sample of 127 science professor
ID: 3314657 • Letter: I
Question
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.
Calculate the relevant test statistic.
Round your answer to three decimal places.
the absolute tolerance is +/-0.02
the absolute tolerance is +/-0.0008
Explanation / Answer
The statistical software output for this problem is:
Two sample T summary hypothesis test:
1 : Mean of Population 1
2 : Mean of Population 2
1 - 2 : Difference between two means
H0 : 1 - 2 = 0
HA : 1 - 2 > 0
(without pooled variances)
Hypothesis test results:
Hence,
Test statistic = 3.316
P - value = 0.0006
Difference Sample Diff. Std. Err. DF T-Stat P-value 1 - 2 3730 1124.705 113.00016 3.3164252 0.0006