Asurvey conducted by the u. s. department of labor found the 48 out of 500 heads of households were unemployed. compute a 99% confidence interval for the proportion of unemployed heads of households in the population. round to three decimal places.

(0.062, 0.130)

Step-by-step explanation:

Sample size = n = 500

Number of heads that were unemployed = x = 48

Proportion of heads that were unemployed = p =

Proportion of heads that were not unemployed = q = 1 - p = 1 - 0.096 = 0.904

Confidence Level = 99%

z-value for 99% confidence level = z = 2.58

The confidence interval about a population proportion is calculated as:

Using the values, we get:

Thus, 99% confidence interval for the proportion of unemployed heads of households in the population is (0.062, 0.130)

step-by-step explanation:

the line of