a. We select a mother at random from this sample of 1,178 mothers. What is the probability that the mother was breastfeeding at six months given that she had an epidural? b. Are having an epidural and breastfeeding at six months independent for this sample of mothers? Explain, using probability rules to justify your answer.

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#4
There is some concern that if a woman has an epidural to reduce pain during childbirth,
the drug can get into the baby's bloodstream, making the baby sleepier and less willing
to breastfeed. In December 2006, the International Breastfeeding Journal published
results of a study conducted at Sydney University. Researchers followed up on 1,178
singleton births, noting whether the mother had an epidural and whether she was still
breastfeeding her baby at six months. The results of the study are summarized in the
table below. Here, 396 mothers received an epidural, and 704 were breastfeeding at six
months.
Breastfeeding at six
months?
Yes
No
Total
Epidural?
Yes
206
190
396
No
498
284
782
Total
704
474
1,178
Transcribed Image Text:There is some concern that if a woman has an epidural to reduce pain during childbirth, the drug can get into the baby's bloodstream, making the baby sleepier and less willing to breastfeed. In December 2006, the International Breastfeeding Journal published results of a study conducted at Sydney University. Researchers followed up on 1,178 singleton births, noting whether the mother had an epidural and whether she was still breastfeeding her baby at six months. The results of the study are summarized in the table below. Here, 396 mothers received an epidural, and 704 were breastfeeding at six months. Breastfeeding at six months? Yes No Total Epidural? Yes 206 190 396 No 498 284 782 Total 704 474 1,178
a. We select a mother at random from this sample of 1,178 mothers. What is the
probability that the mother was breastfeeding at six months given that she had an
epidural?
b. Are having an epidural and breastfeeding at six months independent for this sample of
mothers? Explain, using probability rules to justify your answer.
Transcribed Image Text:a. We select a mother at random from this sample of 1,178 mothers. What is the probability that the mother was breastfeeding at six months given that she had an epidural? b. Are having an epidural and breastfeeding at six months independent for this sample of mothers? Explain, using probability rules to justify your answer.
Expert Solution
Step 1: Given Information:

It is given that the data in the two-way table form.

Total sample mothers = 1178

Epidural mothers = 396

Breastfeeding mothers = 704


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