A baby weighing more than 4,000 g at birth is considered to be large for gestational age (LGA). Gestational diabetes in the mother is believed to be a common risk factor for LGA. In an article published in the New England Journal of Medicine (October 2009), researchers Landon et al. reported a study of 958 women diagnosed with mild gestational diabetes between 24 and 31 weeks of pregnancy who volunteered to participate in the study and then were randomly assigned to one of two groups: 473 to usual prenatal care (control group) and 485 to dietary intervention, self-monitoring of blood glucose, and insulin therapy, if necessary (treatment group). Of the 473 women in the control group, 68 had babies who were LGA, and of the 485 women in the treatment group, 29 had babies who were LGA.

Do the data provide evidence of a relationship between the type of prenatal care a woman with gestational diabetes receives and whether or not she has an LGA baby?

Use the 2SD method to find a 95% confidence interval for the parameter of interest. Round your answer to 3 decimal places.