(a) Is it appropriate find the probability. It is not Part: 1/5 Part 2 of 5 to use the normal approximation to find the probability that less than 7.1% of the individuals in the sample H If not, explain why not. appropriate to use the normal curve, since np = 9.62 < Skip Part (b) A new sample of 225 employed adults is chosen. Find the probability that less than 7.1% of the individuals in this sample hold the answer to at least four decimal places. The probability that less than 7.1% of the individuals in this sample hold multiple jobs is Check 3 X Ś 10. MacBook Air Save © 2023 McGraw Hill LLC. All Rights Reserved. I

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part 2 please

### Working Two Jobs: Statistical Analysis

#### Overview:
Around 13% of employed adults in the United States hold multiple jobs. This exercise uses a random sample of employed adults to determine probabilities related to this statistic. Please follow the questions and explanations below to understand how to use statistical methods and approximations for probability calculations.

#### Part 1 of 5:

**(a) Is it appropriate to use the normal approximation to find the probability that less than 7.1% of the individuals in the sample hold multiple jobs? If so, find the probability. If not, explain why not.**

- In a given sample size \( n \) of employed adults, if \( np \) and \( n(1-p) \) are both greater than 10, the normal approximation can be used.
- Given:
  - \( n = 74 \) 
  - The proportion \( p = 0.13 \) 
  - \( np = 9.62 \) 
  - \( n(1-p) = 64.38 \)

From the data, \( np = 9.62 \) is less than 10. Therefore, it is **not** appropriate to use the normal curve approximation.

<div style="background-color: lightgray; padding: 10px; display: inline-block;">
  <strong>Answer:</strong> It is <strong>not</strong> appropriate to use the normal curve since \( np = 9.62 \) < 10.
</div>

#### Part 2 of 5:

**(b) A new sample of 225 employed adults is chosen. Find the probability that less than 7.1% of the individuals in this sample hold multiple jobs. Round the answer to at least four decimal places.**

- Given:
  - New sample size \( n = 225 \) 
  - \( p = 0.13 \)

The goal is to find the probability that the sample proportion is less than 7.1%. While the detailed calculations and standard normal distribution transformations would typically be shown here, this an intermediate step to solving broader examples to understand statistics in practice.

<div style="background-color: lightgray; padding: 10px; display: inline-block;">
  <strong>Answer:</strong> The probability that less than 7.1% of the individuals in this new sample hold multiple jobs is \( \boxed{5} \) (inter
Transcribed Image Text:### Working Two Jobs: Statistical Analysis #### Overview: Around 13% of employed adults in the United States hold multiple jobs. This exercise uses a random sample of employed adults to determine probabilities related to this statistic. Please follow the questions and explanations below to understand how to use statistical methods and approximations for probability calculations. #### Part 1 of 5: **(a) Is it appropriate to use the normal approximation to find the probability that less than 7.1% of the individuals in the sample hold multiple jobs? If so, find the probability. If not, explain why not.** - In a given sample size \( n \) of employed adults, if \( np \) and \( n(1-p) \) are both greater than 10, the normal approximation can be used. - Given: - \( n = 74 \) - The proportion \( p = 0.13 \) - \( np = 9.62 \) - \( n(1-p) = 64.38 \) From the data, \( np = 9.62 \) is less than 10. Therefore, it is **not** appropriate to use the normal curve approximation. <div style="background-color: lightgray; padding: 10px; display: inline-block;"> <strong>Answer:</strong> It is <strong>not</strong> appropriate to use the normal curve since \( np = 9.62 \) < 10. </div> #### Part 2 of 5: **(b) A new sample of 225 employed adults is chosen. Find the probability that less than 7.1% of the individuals in this sample hold multiple jobs. Round the answer to at least four decimal places.** - Given: - New sample size \( n = 225 \) - \( p = 0.13 \) The goal is to find the probability that the sample proportion is less than 7.1%. While the detailed calculations and standard normal distribution transformations would typically be shown here, this an intermediate step to solving broader examples to understand statistics in practice. <div style="background-color: lightgray; padding: 10px; display: inline-block;"> <strong>Answer:</strong> The probability that less than 7.1% of the individuals in this new sample hold multiple jobs is \( \boxed{5} \) (inter
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