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Hours of Sleep Age Fewer than 6 6 to 6.9 7 to 7.9 8 or more Total 49 or younger 37 60 78 65 240 50 or older 35 60 74 91 260 Conduct a test of independence to determine whether the hours of sleep on weeknights are independent of age. Use a = .05. Use Table 12.4. Compute the value of the x test statistic (to 2 decimals). 2 The p value is Select What is your conclusion? Cannot reject the assumption that age and hours of sleep are independent v |Using the total sample of 500, estimate the percentage of people who sleep less than 6, 6 to 6.9, 7 to 7.9, and 8 or more hours on weeknights (to 1 decimal). Less than 6 hours % 6 to 6.9 hours % 7 to 7.9 hours 8 or more hours %

Hours of Sleep Age Fewer than 6 6 to 6.9 7 to 7.9 8 or more Total 49 or younger 37 60 78 65 240 50 or older 35 60 74 91 260 Conduct a test of independence to determine whether the hours of sleep on weeknights are independent of age. Use a = .05. Use Table 12.4. Compute the value of the x test statistic (to 2 decimals). 2 The p value is Select What is your conclusion? Cannot reject the assumption that age and hours of sleep are independent v |Using the total sample of 500, estimate the percentage of people who sleep less than 6, 6 to 6.9, 7 to 7.9, and 8 or more hours on weeknights (to 1 decimal). Less than 6 hours % 6 to 6.9 hours % 7 to 7.9 hours 8 or more hours %

MATLAB: An Introduction with Applications
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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**Table Analysis from the National Sleep Foundation** The National Sleep Foundation conducted a survey to examine whether the number of hours individuals sleep per night on weeknights is independent of age. Data were gathered from two groups: individuals aged 49 and younger and individuals aged 50 and older. **Table: Hours of Sleep by Age Group** | Age Group | Fewer than 6 hours | 6 to 6.9 hours | 7 to 7.9 hours | 8 or more hours | Total | |------------------|--------------------|----------------|----------------|-----------------|-------| | 49 or younger | 37 | 60 | 78 | 65 | 240 | | 50 or older | 35 | 60 | 74 | 91 | 260 | | **Total** | **72** | **120** | **152** | **156** | **500** | **Statistical Test** - **Objective**: Conduct a test of independence to determine if the hours of sleep on weeknights are independent of age. - **Significance Level**: Use \(\alpha = 0.05\). 1. **Compute the Chi-Square (\(\chi^2\)) test statistic** to two decimal places. 2. **p-value**: Select the appropriate value from the available options. 3. **Conclusion**: Based on the p-value, determine if the assumption that age and hours of sleep are independent can be rejected. **Concluding Statement**: Currently, the conclusion states that we cannot reject the assumption that age and hours of sleep are independent. **Percentage Estimation** Using the total sample of 500 individuals, estimate the percentage of people sleeping: - Less than 6 hours - 6 to 6.9 hours - 7 to 7.9 hours - 8 or more hours Provide these estimates to one decimal place.
Transcribed Image Text:**Table Analysis from the National Sleep Foundation** The National Sleep Foundation conducted a survey to examine whether the number of hours individuals sleep per night on weeknights is independent of age. Data were gathered from two groups: individuals aged 49 and younger and individuals aged 50 and older. **Table: Hours of Sleep by Age Group** | Age Group | Fewer than 6 hours | 6 to 6.9 hours | 7 to 7.9 hours | 8 or more hours | Total | |------------------|--------------------|----------------|----------------|-----------------|-------| | 49 or younger | 37 | 60 | 78 | 65 | 240 | | 50 or older | 35 | 60 | 74 | 91 | 260 | | **Total** | **72** | **120** | **152** | **156** | **500** | **Statistical Test** - **Objective**: Conduct a test of independence to determine if the hours of sleep on weeknights are independent of age. - **Significance Level**: Use \(\alpha = 0.05\). 1. **Compute the Chi-Square (\(\chi^2\)) test statistic** to two decimal places. 2. **p-value**: Select the appropriate value from the available options. 3. **Conclusion**: Based on the p-value, determine if the assumption that age and hours of sleep are independent can be rejected. **Concluding Statement**: Currently, the conclusion states that we cannot reject the assumption that age and hours of sleep are independent. **Percentage Estimation** Using the total sample of 500 individuals, estimate the percentage of people sleeping: - Less than 6 hours - 6 to 6.9 hours - 7 to 7.9 hours - 8 or more hours Provide these estimates to one decimal place.
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