Scenario: Open the NC Births data table. Recall that this data table contains a simple random sample of 1,000 births in North Carolina in 2004.

a. Use a chi-square test of goodness of fit to test the hypothesis that a woman is as likely to give birth to a girl as to a boy. Explain what you did and what you concluded.

b. Are baby gender and whether the mother smoked independent? Explain.

c. Are low birth weight and whether the mother smoked independent? Explain.

d. Are low birth weight and mature mother independent? Explain.