  Income inequality distribution between social groups has been a global
challenge. The focus of this study is to investigate the potential impact of
female income on family size and purchasing power. Using statistical methods
such as simple linear regression, maximum likelihood analysis, and hypothesis
testing, I evaluated and investigated the variability of female pre-tax income
with respect to family size. The results obtained from this study illustrate
that for each additional household member, the average purchasing power
decreases. Additionally, the Bayesian analysis indicates that the probability
for an individual with a pre-tax income of at least one and two standard
deviations above the population mean is female is approximately 1/3 and 1/4,
respectively, further highlighting the gender-based income inequality in
Canada. This analysis concludes that although female pre-tax income has no
statistically significant impact on family size, the female pre-tax income per
person has a statistically significant impact on family size.
