According to Eurostat, 55.2% of households in Italy have one child, the highest percentage in the Euro zone. A random sample of 160 Italian households was selected. The standard error of the proportion is __________.

Question

Quizplus · Accepted Answer

The standard error of the proportion is the standard deviation of the sampling distribution of the sample proportion. It is calculated as the square root of the variance of the sampling distribution, which is equal to the population proportion times the complement of the population proportion divided by the sample size. In this case, the population proportion is 0.552, the complement of the population proportion is 1 - 0.552 = 0.448, and the sample size is 160. Therefore, the standard error of the proportion is sqrt(0.552 * 0.448 / 160) = 0.0393.