Use the following information for questions:
In a past General Social Survey, 87% of a random sample of n = 990 respondents answered yes to the question "Would you approve of an adult male punching a stranger if the stranger had broken into the man's house?"
-A 98% confidence interval for the proportion of all Americans who approve of punching an intruder is
A) 0.852 to 0.888
B) 0.849 to 0.891
C) 0.845 to 0.895
D) 0.842 to 0.898

Question

Use the following information for questions:
 In a past General Social Survey, 87% of a random sample of n = 990 respondents answered yes to the question "Would you approve of an adult male punching a stranger if the stranger had broken into the man's house?"
-A 98% confidence interval for the proportion of all Americans who approve of punching an intruder is
A) 0.852 to 0.888
B) 0.849 to 0.891
C) 0.845 to 0.895
D) 0.842 to 0.898

Quizplus · Accepted Answer

The confidence interval is calculated using the formula for a proportion confidence interval: p̂ ± Z*(√(p̂(1-p̂)/n)), where p̂ = 0.87, n = 990, and Z* for 98% confidence is approximately 2.33. This calculation results in the interval 0.845 to 0.895.

Use the Following Information for Questions