Children and Environmental Tobacco Smoke at Home. Use the following information for Exercises 41–44. The Environmental Protection Agency reported that 11% of children age 6 and under were exposed to environmental tobacco smoke (ETS) at home on a regular basis (at least four times per week).15 A random sample of 100 children age 6 and under showed that 6% of these children had been exposed to ETS at home on a regular basis.

Question 9.307

41. Answer the following:

  1. Is it appropriate to perform the test for the proportion? Why or why not?
  2. Test at level of significance whether the population proportion of children age 6 and under exposed to ETS at home on a regular basis has decreased.

9.5.41

(a) We have and , so we can use thetest for proportions. (b) . Reject if . . Since is not , we do not reject . There is insufficient evidence that the population proportion of children age 6 and under exposed to ETS at home on a regular basis is less than 0.11.