Hours of Sleep Fewer than 6 6 to 6.9 7 to 7.9 8 or more Total er 38 60 77 65 240 36 57 75 92 260 est of independence to determine whether hours of sleep are independent of age. Using a .05 level of signifi alue of the X ² test statistic (to 2 decimals). - Select your answer - onclusion? nswer - ar estimate of the percentages of individuals who sleep fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours an pht? Round your answer to one decimal place. % %

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### Sleep Study Analysis

The National Sleep Foundation conducted a survey to investigate if hours of sleep per night are independent of age. Participants indicated their sleep duration using the following categories: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. They also provided their age group: 39 or younger, or 40 or older. The sample data is presented in the table below.

#### Hours of Sleep by Age Group

| Age Group    | Fewer than 6 | 6 to 6.9 | 7 to 7.9 | 8 or more | Total |
|--------------|--------------|----------|----------|-----------|-------|
| 39 or younger | 38           | 60       | 77       | 65        | 240   |
| 40 or older   | 36           | 57       | 75       | 92        | 260   |

#### Analysis

**a. Test of Independence**  
Conduct a chi-square test of independence to determine if sleep duration is independent of age, using a 0.05 level of significance.

- **Calculate the Chi-square (
Transcribed Image Text:### Sleep Study Analysis The National Sleep Foundation conducted a survey to investigate if hours of sleep per night are independent of age. Participants indicated their sleep duration using the following categories: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. They also provided their age group: 39 or younger, or 40 or older. The sample data is presented in the table below. #### Hours of Sleep by Age Group | Age Group | Fewer than 6 | 6 to 6.9 | 7 to 7.9 | 8 or more | Total | |--------------|--------------|----------|----------|-----------|-------| | 39 or younger | 38 | 60 | 77 | 65 | 240 | | 40 or older | 36 | 57 | 75 | 92 | 260 | #### Analysis **a. Test of Independence** Conduct a chi-square test of independence to determine if sleep duration is independent of age, using a 0.05 level of significance. - **Calculate the Chi-square (
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