The data set lowbwt contains information for a sample of 100 low birth weight 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.

Analyze the case study by answering the following problems.

1. Give the point estimate of the proportion of low birth weight infants whose mothers experienced toxemia during pregnancy.
2. Estimate the proportion of low birth weight infants whose mothers experienced toxemia during pregnancy. Use 95% confidence level.
3. Doctors think that more than 20% of the infants with low birth weight their mothers 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. Is "toxemia" dependent on "the gender of the baby".