40 years ago, it was believed that birth defects affected about 7% of the nation's children. Some believe that increases in the number of chemicals in the environment led to an increase in the incidence of birth defects. A study examined 380 randomly selected children and found that 40 showed signs of a birth defect.
Is this evidence that the risk of birth defects has increased?
a) Write the appropriate hypotheses. (you can type the words "null" and "alternative")
b) Check the necessary assumptions.
c) Perform the mechanics of the test. Report your z-score for the statistic. What is your p-value?
d) Using a significance level of 0.05, what do you conclude? Be sure to provide context.
e) If you changed the significance level to 0.01, would that impact your answer to part d? Why or why not?