The data set Toxemia contains information for a sample of 100 infants born in two hospitals in Boston. Indicators of a maternal diagnosis of toxemia during the pregnancy, a condition characterized by high blood pressure and other potential complications, are saved under the variable name tox (1: toxemia; 0: no Toxemia). It is believed that age of the mothers during pregnancy, gender of the babies (0: girl; 1:boy); and Toxemia during pregnancy affect the weight of the babies at birth.

Analyze the data by answering the following questions.

1. Estimate the proportion of infants whose mothers experienced toxemia during pregnancy. Use 95% confidence level.

2. Doctors think that more than 20% of the infants their mothers experienced toxemia. Is that correct?

3. Doctors think that the infants of mothers experienced toxemia weigh less than the infants of mothers not experienced toxemia. Is that correct?

4. Test if the proportion of girls' mothers with toxemia is different from the proportion of boys's mothers.

5. Test the effect of "toxemia" and "the gender of the baby" on the weights of the babies.

6. Write a report containing your findings