Question

A research group conducted a survey about church attendance. The survey respondents were asked about their church attend...

A research group conducted a survey about church attendance. The survey respondents were asked about their church attendance and asked to indicate their age.

Church
Attendance
Age
20 to 29 30 to 39 40 to 49 50 to 59
Yes 27 59 90 68
No 73 91 110 82

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.

H0: Church attendance is not independent of age.
Ha: Church attendance is independent of age.

H0: Church attendance is independent of age.  
Ha: Church attendance is not independent of age.     

H0: Church attendance is not mutually exclusive from age.
Ha: Church attendance is mutually exclusive from age.

H0: Church attendance is mutually exclusive from age.
Ha: Church attendance is not mutually exclusive from age.

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

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

p-value =

State your conclusion.

Reject H0. We cannot conclude that church attendance is not independent of age.

Do not reject H0. We cannot conclude that church attendance is not independent of age.     

Reject H0. We conclude that church attendance is not independent of age.

Do not reject H0. We conclude that church attendance is not independent of age.

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

No conclusion can be drawn about church attendance as individuals grow older.

Church attendance does not change as individuals grow older.     

Church attendance increases as individuals grow older.

Church attendance decreases as individuals grow older.

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Answer #1

Given : observed table Ager Church Attendance Yes No 20- 29 30-39 40-49 50-59 go 73 9111082 59 68 Expected table : 20-29 30-3Test statistics E (0i-Ei]² E; (27-40.6712 (73-59.33)2 59.33 C90 - 81.3372, 110-118.67 85. 33 118.67 (59-61), (91-8932, 89 40.

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