Use the following information for questions:
Suppose that a confidence interval for a population proportion p is to be calculated. For each sample size n and sample proportion $\hat{p}$ find the approximate margin of error for a 95% confidence interval ("the 95% margin of error").
-Sample size n = 1000 and sample proportion $\hat{p}$ = 0.35
A) 0.0003
B) 0.011
C) 0.025
D) 0.030

Question

Use the following information for questions:
 Suppose that a confidence interval for a population proportion p is to be calculated. For each sample size n and sample proportion $\hat{p}$ find the approximate margin of error for a 95% confidence interval ("the 95% margin of error").
-Sample size n = 1000 and sample proportion $\hat{p}$ = 0.35
A) 0.0003
B) 0.011
C) 0.025
D) 0.030

Quizplus · Accepted Answer

The margin of error for a 95% confidence interval is calculated using the formula: $ ME = Z \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} $. For a 95% confidence level, Z is approximately 1.96. Plugging in the values: $ ME = 1.96 \times \sqrt{\frac{0.35 \times 0.65}{1000}} \approx 0.030 $.

Use the Following Information for Questions: Suppose That a Confidence

Use the Following Information for Questions:
Suppose That a Confidence