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
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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
![**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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f11b0a5-f758-48c2-911f-774d5e291a60%2F45e170b8-cbe8-4a74-9107-a402551509fb%2Fuqx2s9q_processed.png&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f11b0a5-f758-48c2-911f-774d5e291a60%2F45e170b8-cbe8-4a74-9107-a402551509fb%2F1kmbj18_processed.png&w=3840&q=75)
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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