Determine the proportion of employees who chose the satisfaction rating 2 (neutral). Find the 99% confidence interval of the population proportion associated with the satisfaction rating of 2. (Round your answers to three decimal places.) O (b) The company is interested in which confidence intervals associated with 1 (very satisfied) contain the proportion 0.25, or 25%. Determine which confidence levels satisfy this. (Select all that apply.) O 85% O 90% O 95% O 99% Determine if the statement is true or false. If the same sampling type was done numerous times and a 90% confidence interval was given each time, at least 90% of these intervals would contain the true population proportion of people selecting 1 as the satisfaction rating. O True O False

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**Survey on Job Satisfaction**

A survey was conducted at a company to assess how satisfied employees are with their jobs. The survey used a scale from 1 to 3, with 1 indicating "very satisfied" and 3 indicating "very dissatisfied." Out of the numerous employees, a sample of 50 individuals participated in the survey.

### Visualization Overview

#### Histogram of Job Satisfaction

- The histogram displays the distribution of satisfaction levels among participants.
- X-axis: Satisfaction Levels (1, 2, 3)
- Y-axis: Number of Respondents
  - Level 1: 18 responses (36%)
  - Level 2: 19 responses (38%)
  - Level 3: 13 responses (26%)

The bar heights visually represent the number of respondents for each satisfaction level, showing that Level 2 had the highest count.

#### Frequencies Table

- **Level 1**: Count = 18, Probability = 0.3600
- **Level 2**: Count = 19, Probability = 0.3800
- **Level 3**: Count = 13, Probability = 0.2600
- Total participants = 50
- All levels were reported, with no missing responses.

### Confidence Intervals

Confidence intervals for satisfaction levels were computed using score confidence intervals:

#### 90% Confidence Intervals

- **Level 1**: Lower CI = 0.258197, Upper CI = 0.476177
- **Level 2**: Lower CI = 0.276014, Upper CI = 0.496306
- **Level 3**: Lower CI = 0.172179, Upper CI = 0.372461
- Calculated with an alpha (α) of 0.900

#### 95% Confidence Intervals

- **Level 1**: Lower CI = 0.211239, Upper CI = 0.54151
- **Level 2**: Lower CI = 0.227329, Upper CI = 0.560788
- **Level 3**: Lower CI = 0.135733, Upper CI = 0.44086
- Calculated with an alpha (α) of 0.950

#### 85% Confidence Intervals

- **Level 1**: Lower CI = 0.269595, Upper CI = 0.
Transcribed Image Text:**Survey on Job Satisfaction** A survey was conducted at a company to assess how satisfied employees are with their jobs. The survey used a scale from 1 to 3, with 1 indicating "very satisfied" and 3 indicating "very dissatisfied." Out of the numerous employees, a sample of 50 individuals participated in the survey. ### Visualization Overview #### Histogram of Job Satisfaction - The histogram displays the distribution of satisfaction levels among participants. - X-axis: Satisfaction Levels (1, 2, 3) - Y-axis: Number of Respondents - Level 1: 18 responses (36%) - Level 2: 19 responses (38%) - Level 3: 13 responses (26%) The bar heights visually represent the number of respondents for each satisfaction level, showing that Level 2 had the highest count. #### Frequencies Table - **Level 1**: Count = 18, Probability = 0.3600 - **Level 2**: Count = 19, Probability = 0.3800 - **Level 3**: Count = 13, Probability = 0.2600 - Total participants = 50 - All levels were reported, with no missing responses. ### Confidence Intervals Confidence intervals for satisfaction levels were computed using score confidence intervals: #### 90% Confidence Intervals - **Level 1**: Lower CI = 0.258197, Upper CI = 0.476177 - **Level 2**: Lower CI = 0.276014, Upper CI = 0.496306 - **Level 3**: Lower CI = 0.172179, Upper CI = 0.372461 - Calculated with an alpha (α) of 0.900 #### 95% Confidence Intervals - **Level 1**: Lower CI = 0.211239, Upper CI = 0.54151 - **Level 2**: Lower CI = 0.227329, Upper CI = 0.560788 - **Level 3**: Lower CI = 0.135733, Upper CI = 0.44086 - Calculated with an alpha (α) of 0.950 #### 85% Confidence Intervals - **Level 1**: Lower CI = 0.269595, Upper CI = 0.
**Section (a):**

- **Task**: Determine the proportion of employees who chose the satisfaction rating 2 (neutral).
  
- **Find the 99% Confidence Interval**: Calculate the 99% confidence interval of the population proportion associated with the satisfaction rating of 2. Round your answers to three decimal places.
  
  Enter your answer:  
  \[
  (\_\_\_\_\_\_, \_\_\_\_\_\_)
  \]

**Section (b):**

- **Interest of the Company**: The company wants to know which confidence intervals associated with the satisfaction rating of 1 (very satisfied) contain the proportion 0.25, or 25%. Determine which confidence levels satisfy this. (Select all that apply.)

  - [ ] 85%
  - [ ] 90%
  - [ ] 95%
  - [ ] 99%

- **True or False Statement**: Determine if the following statement is true or false:
  
  "If the same sampling type was done numerous times and a 90% confidence interval was given each time, at least 90% of these intervals would contain the true population proportion of people selecting 1 as the satisfaction rating."

  - ( ) True
  - ( ) False
Transcribed Image Text:**Section (a):** - **Task**: Determine the proportion of employees who chose the satisfaction rating 2 (neutral). - **Find the 99% Confidence Interval**: Calculate the 99% confidence interval of the population proportion associated with the satisfaction rating of 2. Round your answers to three decimal places. Enter your answer: \[ (\_\_\_\_\_\_, \_\_\_\_\_\_) \] **Section (b):** - **Interest of the Company**: The company wants to know which confidence intervals associated with the satisfaction rating of 1 (very satisfied) contain the proportion 0.25, or 25%. Determine which confidence levels satisfy this. (Select all that apply.) - [ ] 85% - [ ] 90% - [ ] 95% - [ ] 99% - **True or False Statement**: Determine if the following statement is true or false: "If the same sampling type was done numerous times and a 90% confidence interval was given each time, at least 90% of these intervals would contain the true population proportion of people selecting 1 as the satisfaction rating." - ( ) True - ( ) False
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