Does evidence conclude that salary is based on gender of the evaluator? Thanks!

Question

Does evidence conclude that salary is based on gender of the evaluator? Thanks!

In a study examining gender bias, a nationwide sample of 127 science professors evalusted the application materials of an undergraduate student who had ostensibly applied for a laboratory manager position. All the faculty members received the same application, with half randomly given male name and half randomly given a female name. We see that the applications with female names received a significantly lower recommended salary. Doe gender of the evaluator make a difference? In particular, considering only the 64 applications with female names, is the mean recommended salary different depending on the gender of the evaluating faculty member? The 32 male faculty gave a mean starting salary of $27,111 with a standard deviation of $6948 while the 32 female facuity gave a mean starting salary of $25,000 with a standard deviation of $7966 Let group 1 and group 2 be the salary recommended for female applicants by male faculty members and female faculty members, respectively. Moss-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 P2 Click here to start 0 S Ha LINK TO TEXT Calculate the relevant test statistic Round your answer to three decimal places. t-statistic= the absolute tolerance is t-0.02 LINK TO TEXT Find the p-value Round your answer to three decimal places. p-value =

Explanation / Answer

Null Hypothesis (H0): H0:0 =1 Alternative hypothesis(H1): H1:0 is not equals to 1 Level of significance: alpha=5% Given Data: x bar 27111 y bar 25000 n1 32 n2 32 s1 6948 s2 7966 Test statistic: (Assume unequal variances) t cal= 1.1297 df= 61 P value= 0.263 Conclusion: t cal   t critical value we can         Ho. Hence cliam is

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