Question

Should I be using Chi Square goodness-of-fit or ANOVA?

[for question 2, I do not know if 'rate of majority female occupations' means the frequency of occupations in each 'type' (white-collar type has 6 occupations, blue-collar type has 7, professional type has 13), or if it means the percentages listed under the 'women' column.]

The Prestige dataset contains information about different occupations in Canada in 1971. Three types of occupations were collected: blue collar (“bc”), white collar (“wc”), and professional/technical (“prof”). The women variable indicates the percentage of the workforce in each occupation that was female. You are interested in looking at occupations with workforces that are majority (greater than 50%) female compared to those that are majority male.

1. Create a new variable in the dataset called maj.women that indicates whether or not each occupation is greater than 50% women. (1pt)

2. Are there differences in the rate of majority female occupations across the three types? Carry out the appropriate analysis to answer this question and include all steps for full credit. (5pt)

3. Calculate an appropriate measure of effect size to compare the rate of majority female occupations between blue collar and white collar professions and interpret it in context. (2pt)

Answer 1