Use the following information for questions:
Random samples from two age groups of brides (200 brides under 18 years and 100 brides at least twenty years old) showed that 50% of brides in the under 18 group were divorced after 15 years, while 40% of brides in the 20 or older age group were divorced after 15 years. The difference between the two proportions is 0.10, with a standard error of 0.0604.
-What is a 95% confidence interval for the difference between the population proportions of brides who are divorced within 15 years (brides under 18 - brides at least 20)?
A) (-0.018, 0.218)
B) (-00.123, 0.023)
C) (-0.040, 0.160)
D) None of the above

Question

Use the following information for questions:
 Random samples from two age groups of brides (200 brides under 18 years and 100 brides at least twenty years old) showed that 50% of brides in the under 18 group were divorced after 15 years, while 40% of brides in the 20 or older age group were divorced after 15 years. The difference between the two proportions is 0.10, with a standard error of 0.0604.
-What is a 95% confidence interval for the difference between the population proportions of brides who are divorced within 15 years (brides under 18 - brides at least 20)?
A) (-0.018, 0.218)
B) (-00.123, 0.023)
C) (-0.040, 0.160)
D) None of the above

Quizplus · Accepted Answer

The 95% confidence interval for the difference between two proportions is calculated using the formula: difference ± Z * standard error, where Z is the Z-score for a 95% confidence level (approximately 1.96). Plugging in the numbers: 0.10 ± 1.96 * 0.0604 gives us an interval of (-0.018, 0.218).

Use the Following Information for Questions