Questions: Working two jobs: About 12% of employed adults in the United States held multiple jobs. A random sample of 66 employed adults is chosen. Use Excel as needed. Part: 0 / 5 Part 1 of 5 (a) Is it appropriate to use the normal approximation to find the probability that less than 8.4% of the individuals in the sample hold multiple jobs? If so, find the probability. If not, explain why not. It is not appropriate to use the normal curve, since np= < 10.

Working two jobs: About 12% of employed adults in the United States held multiple jobs. A random sample of 66 employed adults is chosen. Use Excel as needed.

Part: 0 / 5

Part 1 of 5
(a) Is it appropriate to use the normal approximation to find the probability that less than 8.4% of the individuals in the sample hold multiple jobs? If so, find the probability. If not, explain why not.

It is not appropriate to use the normal curve, since np= < 10.

Transcript text: Working two jobs: About $12 \%$ of employed adults in the United States held multiple jobs. A random sample of 66 employed adults is chosen. Use Excel as needed. Part: $0 / 5$ Part 1 of 5 (a) Is it appropriate to use the normal approximation to find the probability that less than $8.4 \%$ of the individuals in the sample hold multiple jobs? If so, find the probability. If not, explain why not. It $\square$ is not appropriate to use the normal curve, since $n p=$ $\square$ $\square$ $<$ 10.

Solution

Solution Steps

Step 1: Calculate $ np $

To determine if it is appropriate to use the normal approximation, we first calculate $ np $:

\[ np = n \cdot p = 66 \cdot 0.12 = 7.92 \]

Step 2: Assess Normal Approximation Appropriateness

Since $ np = 7.92 < 10 $, it is not appropriate to use the normal curve for this problem. The condition for using the normal approximation is that $ np $ must be greater than or equal to 10.