**Note – data is hypothetical**** I would like to compare the percentage of women in my data to the percentage of women in a population dataset, to see if the % women in my data is high or low. So for example, my data population Female 30% 25% Male 70% 75% However, the two datasets overall have different mixes of occupations and age groups, so we don’t expect the percentage of women to be the same. Therefore, we have to adjust for these differences. The table shows, for the population, the percentage of women in each combination of occupation and age groups, as well as the CIs around the percentage. POPULATION DATA: Professional % of women CIs for proportion Younger 50% (45%, 55%) Older 70% (64%, 76%) Not professional Older 20% (15%, 25%) Younger 15% (10%, 20% In my dataset, I have 50% who are not professional and older, 20% who are not professional and younger, and 30% who are professional and younger. therefore, to get the expected proportion of women, I calculate: .5*.2 + .2*.15 + .3*.5 = .28 However, the population numbers have CIs around the estimates. Should those be ignored or taken into account here? Thanks in advance for any thoughts.
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