In a sample of 50 births, each birth was recorded as either a term birth (gestation period of 32 weeks or more) or a preterm birth (gestation period of less than 32 weeks). Is the proportion of Caesarean deliveries different for term and preterm births? 

a. State the hypotheses either in words or using appropriate symbols. 

b. Of the 29 term births, 22 were Caesarean deliveries, whereas 19 of the 21 preterm births were Caesarean deliveries. Use the data to fill in the table. 

c. What are the observed conditional proportions of Caesarean deliveries for each group of births (preterm and term)? 

d. Use the Multiple Proportions applet to find a p-value and standardized statistic for the test of significance. 

e. Calculate a 2SD confidence interval for the difference in the proportion of Caesarean deliveries. 

f. Draw conclusions based on the p-value, standardized statistic, and confidence interval. Also talk about generalization and causation conclusions.

Transcribed Image Text:

Caesarean Vaginal Total Preterm Term Total