Babies weighing less than 5.5 pounds at birth are considered "low-birth-weight babies." In the United States, 7.6% of newborns are low-birth-weight babies. The following information was accumulated from samples of new births taken from two counties.
Hamilton
Shelby
Sample size150
200
Number of low-birth-weight babies18
22
?
a.Develop a 95% confidence interval estimate for the difference between the proportions of low-birth-weight babies in the two counties.b.Is there conclusive evidence that one of the proportions is significantly more than the other? If yes, which county? Explain, using the results of part (a). Do not perform any test.
What will be an ideal response?
| a. | -.0577 to .0777 |
| b. | Because the range of the interval is from negative to positive, there is no indication that one proportion is significantly different (at 95% confidence) from the other. |
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