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.
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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Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F928f3826-faea-4936-b5b6-4aab28469498%2Ff39dd641-72d8-4a31-afc7-26632507db66%2Fc9wh9yx_processed.png&w=3840&q=75)
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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