Solve the problem.
-A survey of 300 union members in New York State reveals that 112 favor the Republican candidate for governor. Construct the 98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate.
A)0.304

Question

Solve the problem.
-A survey of 300 union members in New York State reveals that 112 favor the Republican candidate for governor. Construct the 98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate.
A)0.304 < p < 0.442
B)0.308 < p < 0.438
C)0.316 < p < 0.430
D)0.301 < p < 0.445

Quizplus · Accepted Answer

The sample proportion is 112/300 = 0.373. Using the formula for a confidence interval for a proportion and a Z-score for 98% confidence (approximately 2.33), the interval is calculated as 0.373 ± 2.33 * sqrt((0.373*(1-0.373))/300), resulting in the interval 0.308 < p < 0.438.

Solve the Problem. -A Survey of 300 Union Members in New York State