Question

A college research group reported that 42% of college students aged 18-24 would spend their spring breaks relaxing at home in 2009. A sample of 140 college students was selected. Complete parts a through d below.

a. Calculate the standard error of the proportion.

A. Cannot be calculated with the given information
B. 0.0349
C. 0.0456
D. 0.0431

Answer 1

The standard error of the proportion can be calculated using the formula: standard error = sqrt((p * (1 - p)) / n), where p is the proportion in decimal form and n is the sample size.

Step-by-step explanation:

To calculate the standard error of the proportion, we can use the formula:

standard error = sqrt((p * (1 - p)) / n)

Where p is the proportion (in decimal form) and n is the sample size.

In this case, the proportion is 42% (or 0.42 in decimal form) and the sample size is 140. Plugging these values into the formula, we get:

standard error = sqrt((0.42 * (1 - 0.42)) / 140)

Calculating this gives us a standard error of approximately 0.0431. So the correct answer is D.