A) state null and alternative hypotheses B) Calculate test statistic (round to 3 decimal places)C) Find p value (round to 4 decimal places)

Gender Bias In a study 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 (11,,, = 63) or the name of a female (n - 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 $5 152 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