The sex distribution of new babies is close to 50% each, with the percentage of males usually being just slightly higher. In China in recent years, the percentage of female births seems to have dropped, a combination of policy limiting family size, the desire of most families to have at least one male child, the possibility of determining sex well before birth, and the availability of abortion. Suppose that historically 49% of births in China were female but birth records in a particular town for the past year show 800 females born and 1200 males. Conduct an investigation to determine if the current probability of a female birth in this town is less than 0.49, by using the mean and standard deviation of the probability distribution of what you would observe with 2000 births if it were still 0.49