In a study investigating whether aftereffects of epidurals administered during childbirth might interfere with successfulbreastfeeding, researchers found that 493 continued breastfeeding after 6 months of childbirth in a random sample of 775 new mothers who had no epidurals administered duringchildbirth; while 211 continued breastfeeding after 6 months of childbirth in a random sample of 385 new mothers who had epidural administered during childbirth. Assume that all the assumptions were checked and are satisfied. Use the Minitab output given to answer the following questions.

Test and CI for Two Proportions

Sample

Event

N

Sample p

Sample 1

493

775

0.636129

Sample 2

211

385

0.548052

Method

p: proportion where Sample 1= Event

p: proportion where Sample 2= Event

Difference= p- p

Estimation for Difference

Difference

98% CI for Difference

0.0880771

(0.016676, 0.159478)

CI based on normal approximation

(a) Interpret the confidence interval that is on the output in the context of the problem.

(b) Suppose we wished to testHo: p1= p2 vs.Ha: p1 p2 at the2% significance level. Explain whether we would reject Ho or not reject Ho based on the confidence interval that is on the output.