Solve the problem.
-A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature. Construct the 95% confidence interval for the true proportion of all voters in the state who favor approval.
A)0.438

Question

Solve the problem.
-A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature. Construct the 95% confidence interval for the true proportion of all voters in the state who favor approval.
A)0.438 < p < 0.505
B)0.435 < p < 0.508
C)0.444 < p < 0.500
D)0.471 < p < 0.472

Quizplus · Accepted Answer

The sample size is 865 and 408 favor approval. The sample proportion is 408/865 = 0.471. The standard error of the proportion is sqrt(0.471*0.529/865) = 0.017. The 95% confidence interval is 0.471 +/- 1.96*0.017 = (0.438, 0.505).

Solve the Problem. -A Survey of 865 Voters in One State Reveals That