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# Rating Gender-Candidate 1M 1M 1M 1M 1M 2M 2M 2M 3M 3M 3M 3M 3M 3M 3M 3M 3M 3M 3M 3M 4M 4M 4M 4M 4M 4M 4M 4M 4M 5M 5M 5M 5M 5M 5M 5M 5M 5M 5M 5M 5M 5M...

A study was conducted to determine whether any gender bias existed in an academic science environment. Faculty from several universities were asked to rate candidates for a laboratory manager position based on their application. The gender of the applicant was given in the applicant's materials. Each rater was to give a competence rating to the applicants on a seven point scale with 1 being the lowest and 7 being the highest. The data are available below. Analyze the data. Do you think there is any gender bias in the evaluations?

What are the hypotheses to test to determine whether there is any gender bias in the evaluations?

A. Ho: Rating and gender are not significant.

H1: Rating and gender are significant.

B. Ho: The proportions of each rating are all equal.

H1: The proportion for at least one rating is not equal.

C. H0: The mean rating is 0.

H1: The mean rating is not 0.

D. Ho: Rating and gender are independent.

H1:  Rating and gender are dependent.

What test will determine whether there is any gender bias in the evaluations?
A. One-way ANOVA

B. The paired t test for the means of two related populations

C. Two-way ANOVA

D. The chi-squared test for independence

Use technology to determine if there is any gender bias in the evaluations due to the gender of the candidate at the 0.05 level of significance.

Since the test statistic XStat/FStat/TStat/ZStat = _____ is greater/less than the critical value ______, conclude that there is/is no evidence of gender bias due to the gender of the candidate.

Use technology to determine if there any gender bias in the evaluations due to the gender of the reviewer at the 0.05 level of significance.

Since the test statistic XStat/FStat/TStat/ZStat = _____ is greater/less than the critical value ______, conclude that there is/is no evidence of gender bias due to the gender of the reviewer.

Ratng Gender-CandidaTe Gender-RaTer 1 M M 1 M F 1 M M 1 M F 1 M M 2 M F 2 M M 2 M F 3 M M 3 M F 3 M M 3 M F 3 M M 3 M F 3 M M 3 M F 3 M M 3 M F 3 M M 3 M F 4 M M 4 M F 4 M M 4 M F 4 M M 4 M F 4 M M 4 M F 4 M M 5 M F 5 M M 5 M F 5 M M 5 M F 5 M M 5 M F 5 M M 5 M F 5 M M 5 M F 5 M M 5 M F 6 M M 6 M F 7 M M
7 M F 7 M M 7 M F 7 M M 7 M F 1 F M 1 F F 1 F M 2 F F 2 F M 2 F F 2 F M 2 F F 2 F M 2 F F 2 F M 2 F F 2 F M 3 F F 3 F M 3 F F 3 F M 3 F F 3 F M 3 F F 3 F M 3 F F 3 F M 3 F F 3 F M 3 F F 4 F M 4 F F 4 F M 4 F F 4 F M 4 F F 4 F M 4 F F 4 F M 4 F F 4 F M 5 F F 5 F M 5 F F 5 F M
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D. Ho: Rating and gender are independent.    ... View the full answer

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