Find the value of the test statistic. Find the p-value. (Round your ans

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### Hypothesis Testing on Church Attendance and Age

**State your conclusion:**

- ○ Do not reject \( H_0 \). We conclude that church attendance is independent of age.
- ○ Do not reject \( H_0 \). We cannot conclude that church attendance is not independent of age.
- ○ Reject \( H_0 \). We cannot conclude that church attendance is not independent of age.
- ○ Reject \( H_0 \). We conclude that church attendance is not independent of age.

**What conclusion can you draw about church attendance as individuals grow older?**

- ○ Church attendance does not change as individuals grow older.
- ○ Church attendance decreases as individuals grow older.
- ○ No conclusion can be drawn about church attendance as individuals grow older.
- ○ Church attendance increases as individuals grow older.

This exercise involves determining the relationship between church attendance and age, investigating whether attendance is affected by age or remains unchanged.
Transcribed Image Text:### Hypothesis Testing on Church Attendance and Age **State your conclusion:** - ○ Do not reject \( H_0 \). We conclude that church attendance is independent of age. - ○ Do not reject \( H_0 \). We cannot conclude that church attendance is not independent of age. - ○ Reject \( H_0 \). We cannot conclude that church attendance is not independent of age. - ○ Reject \( H_0 \). We conclude that church attendance is not independent of age. **What conclusion can you draw about church attendance as individuals grow older?** - ○ Church attendance does not change as individuals grow older. - ○ Church attendance decreases as individuals grow older. - ○ No conclusion can be drawn about church attendance as individuals grow older. - ○ Church attendance increases as individuals grow older. This exercise involves determining the relationship between church attendance and age, investigating whether attendance is affected by age or remains unchanged.
A research group conducted a survey about church attendance. The survey respondents were asked about their church attendance and their age. Use the sample data to determine whether church attendance is independent of age. Use a 0.05 level of significance.

**State the Null and Alternative Hypotheses:**

- \( H_0: \) Church attendance is independent of age.
- \( H_a: \) Church attendance is not independent of age.

**Table of Church Attendance by Age:**

| Age Group | No  | Yes |
|-----------|-----|-----|
| 20 to 29  | 71  | 29  |
| 30 to 39  | 89  | 61  |
| 40 to 49  | 108 | 92  |
| 50 to 59  | 80  | 70  |

**Steps:**

1. Find the value of the test statistic. (Round your answer to three decimal places.)
2. Find the p-value. (Round your answer to four decimal places.)

**Observations:**

From the table, the distribution of church attendance (Yes/No) is shown across different age groups (20 to 29, 30 to 39, 40 to 49, 50 to 59).
Transcribed Image Text:A research group conducted a survey about church attendance. The survey respondents were asked about their church attendance and their age. Use the sample data to determine whether church attendance is independent of age. Use a 0.05 level of significance. **State the Null and Alternative Hypotheses:** - \( H_0: \) Church attendance is independent of age. - \( H_a: \) Church attendance is not independent of age. **Table of Church Attendance by Age:** | Age Group | No | Yes | |-----------|-----|-----| | 20 to 29 | 71 | 29 | | 30 to 39 | 89 | 61 | | 40 to 49 | 108 | 92 | | 50 to 59 | 80 | 70 | **Steps:** 1. Find the value of the test statistic. (Round your answer to three decimal places.) 2. Find the p-value. (Round your answer to four decimal places.) **Observations:** From the table, the distribution of church attendance (Yes/No) is shown across different age groups (20 to 29, 30 to 39, 40 to 49, 50 to 59).
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