In 1998, a San Diego reproductive clinic reported 42 live births to 157 women under the age of 38, but only 7 live births for 89 clients aged 38 and older. Is this strong evidence of a difference in the effectiveness of the clinic's methods for older women?
a) Test an appropriate hypothesis and state your conclusion.
b) If you concluded there was a difference, estimate that difference with a confidence interval and interpret your interval in context.