Question

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

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 mutually exclusive from age.
Ha: Church attendance is mutually exclusive from age.

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 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.

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

Do not reject H0. We cannot 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. or

Church attendance decreases as individuals grow older. or

Church attendance does not change as individuals grow older. or

Church attendance increases as individuals grow older.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

The statistical software output for this problem is :

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


Test statistics = 10.762

P-value = 0.0131

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

Church attendance increases as individuals grow older.

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