11.The American Academy of Pediatrics recommends breast milk as the best nutrition for infants. A survey was conducted to see if pregnant women in their last trimester of pregnancy planned to breast feed their babies. It was thought that the income level of the women might be related to whether they planned to breast feed or not. The table below shows the results of the study:

income level plan to breast feed do not plan to

breast feed

low 28 27

middle 38 26

high 29 14

Assume that all conditions for testing have been met. This was an observational study of randomly selected pregnant women in their last trimester of pregnancy. Test whether there is an association between whether a woman plans to breast feed her baby or not and her income level, using a significance level of 0.05. Choose the correct decision and conclusion regarding the null hypothesis that no association exists.

Follow and answer the following accordingly.

a.Set-up the null and alternative hypotheses. Write in correct notation. Specify if left-tailed, right-tailed or two-tailed test.

b.Specify the significance level . Sketch your critical or rejection region.

c.Gather your evidence. Specify the information derived from the sample.

d.Compute the appropriate test statistic.

e.Compute the critical value (classical approach)

f.Compute the p-value (p-value approach)

g.Decision criterion: Based on (e) or (f), specify your decision if reject or do not reject the null hypothesis.

h.What is theconclusion. Make sure that it must be in the right context as indicated in the problem.