Exhibit 16.5 A researcher wished to estimate the proportion of all families who go to the movies at least once a month.He wished the estimate to be accurate within plus or minus 4 percentage points and further desired a 95 percent confidence interval (z = 2)around the result.Additionally,he estimates the population proportion as 0.30.
Refer to Exhibit 16.5.The required sample size is
A)24.
B)525.
C)300.
D)600.
E)575.

Question

Quizplus · Accepted Answer

The required sample size is 525. This is calculated using the formula n = (Z^2 * p * q) / e^2, where Z is the z-score for the desired confidence level, p is the estimated population proportion, q is 1 - p, and e is the margin of error. In this case, Z = 2, p = 0.30, q = 0.70, and e = 0.04. Plugging these values into the formula, we get n = (2^2 * 0.30 * 0.70) / 0.04^2 = 525.