Problem

A sample has a sample proportion of 0.3 . Which sample size will produce the widest $95 \%$ confidence interval when estimating the population parameter?
A. 100
B. 90
C. 75
D. 50

Answer

Expert–verified
Hide Steps
Answer

Compare the margins of error and choose the sample size with the widest confidence interval. \(\boxed{50}\)

Steps

Step 1 ：Calculate the margin of error for each sample size using the formula: Margin of Error = Z * sqrt((p * (1 - p)) / n), where Z = 1.96, p = 0.3, and n is the sample size.

Step 2 ：Compare the margins of error and choose the sample size with the widest confidence interval. \(\boxed{50}\)

link_gpt

Popular Problems

Compute $\int_{0}^{\ln (2) / … Solve the triangle. \[ \mathr… QUESTION 2 - 1 POINT Solve th… 5. Suppose you are a computer… Answer the statistical measur… $(-\infty, 2) \cap(-6, \infty… A firm does not pay a dividen… Math 112 Section: 4. Tubercul… Find $y^{\prime}$ if $y=\ln \… 3. (3pts) Cherry trees in a c… More