oup conducted a survey about church attendance. The survey respondents were ask Church Attendance Yes No 20 to 29 30 to 39 40 to 49 26 74 58 Age 92 89 111 hurch attendance is not independent of age. hurch attendance is independent of age. 50 to 59 67 83 ple data to determine whether church attendance is independent of age. Use a 0.05 all and alternative hypotheses. urch attendance is not mutually exclusive from age. hurch attendance is mutually exclusive from age.

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### Church Attendance and Age Relationship Analysis

A research group conducted a survey about church attendance. The survey respondents were asked about their church attendance and their age. The data collected is summarized in the table below:

| Church Attendance | Age       | 20 to 29 | 30 to 39 | 40 to 49 | 50 to 59 |
|-------------------|-----------|----------|----------|----------|----------|
| Yes               |           | 26       | 58       | 89       | 67       |
| No                |           | 74       | 92       | 111      | 83       |

Use the sample data to determine whether church attendance is independent of age, using a 0.05 level of significance.

### Hypotheses

State the null and alternative hypotheses:

1. \( H_0 \): Church attendance is not mutually exclusive from age.  
   \( H_a \): Church attendance is mutually exclusive from age.

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

3. \( H_0 \): Church attendance is mutually exclusive from age.  
   \( H_a \): Church attendance is not mutually exclusive from age.

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

### Statistical Test

Find the value of the test statistic. (Round your answer to three decimal places.)

### p-Value

Find the p-value. (Round your answer to four decimal places.)

\[ \text{p-value} = \]

### Conclusion

State your conclusion based on the p-value:

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

### Implications

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

- \( \bigcirc \) Church attendance decreases as individuals grow older.
- \( \bigcirc \) Church attendance does
Transcribed Image Text:### Church Attendance and Age Relationship Analysis A research group conducted a survey about church attendance. The survey respondents were asked about their church attendance and their age. The data collected is summarized in the table below: | Church Attendance | Age | 20 to 29 | 30 to 39 | 40 to 49 | 50 to 59 | |-------------------|-----------|----------|----------|----------|----------| | Yes | | 26 | 58 | 89 | 67 | | No | | 74 | 92 | 111 | 83 | Use the sample data to determine whether church attendance is independent of age, using a 0.05 level of significance. ### Hypotheses State the null and alternative hypotheses: 1. \( H_0 \): Church attendance is not mutually exclusive from age. \( H_a \): Church attendance is mutually exclusive from age. 2. \( H_0 \): Church attendance is not independent of age. \( H_a \): Church attendance is independent of age. 3. \( H_0 \): Church attendance is mutually exclusive from age. \( H_a \): Church attendance is not mutually exclusive from age. 4. \( H_0 \): Church attendance is independent of age. \( H_a \): Church attendance is not independent of age. ### Statistical Test Find the value of the test statistic. (Round your answer to three decimal places.) ### p-Value Find the p-value. (Round your answer to four decimal places.) \[ \text{p-value} = \] ### Conclusion State your conclusion based on the p-value: - \( \bigcirc \) Reject \( H_0 \): We cannot conclude that church attendance is not independent of age. - \( \bigcirc \) Do not reject \( H_0 \): We cannot conclude that church attendance is not independent of age. - \( \bigcirc \) Do not reject \( H_0 \): We conclude that church attendance is not independent of age. - \( \bigcirc \) Reject \( H_0 \): We conclude that church attendance is not independent of age. ### Implications What conclusion can you draw about church attendance as individuals grow older? - \( \bigcirc \) Church attendance decreases as individuals grow older. - \( \bigcirc \) Church attendance does
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