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

A) $0.47 \pm 0.049$
B) $0.47 \pm 0.034$
C) $0.47 \pm 0.017$
D) $0.47 \pm 0.025$

Question

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

A) $0.47 \pm 0.049$
B) $0.47 \pm 0.034$
C) $0.47 \pm 0.017$
D) $0.47 \pm 0.025$

Quizplus · Accepted Answer

The sample proportion is 0.47. Using the formula for the confidence interval for a proportion, the margin of error is approximately 0.034 for a 95% confidence level.

A Survey of 865 Voters in One State Reveals That 0.47±0.0490.47 \pm 0.0490.47±0.049

A Survey of 865 Voters in One State Reveals That $0.47 \pm 0.049$