I have a question about Stochastic Process homework question.

1.17. A sociology professor postulates that in each decade 8 % of women in the work force leave it and 20% of the women not in it begin to work. Compare the predictions of his model with the following data on the percentage of women working: 43.3 % in 1970, 51.5 % in 1980. 57.5 % in 1990, and 59.8 % in 2000. In the long run what fraction of women will be working