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 |
30 |
62 |
93 |
71 |
No |
70 |
88 |
107 |
79 |
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.
H
0: Church attendance is not mutually exclusive from age.
H
a: Church attendance is mutually exclusive from age.
H
0: Church attendance is mutually exclusive from age.
H
a: Church attendance is not mutually exclusive from age.
H
0: Church attendance is not independent of age.
H
a: Church attendance is independent of age.
Find the value of the test statistic. (Round your answer to three decimal places.) =______
Find thep-value. (Round your answer to four decimal places.)
p-value = ______
State your conclusion.
(A) Reject
H
0. We cannot conclude that church attendance is not independent of age.
(B) Do not reject
H
0. We conclude that church attendance is not independent of age.
(C) Reject
H
0. We conclude that church attendance is not independent of age.
(D) Do not reject
H
0. We cannot conclude that church attendance is not independent of age.
What conclusion can you draw about church attendance as individuals grow older?
(A) Church attendance decreases as individuals grow older.
(B) Church attendance does not change as individuals grow older.
(C) Church attendance increases as individuals grow older.
(D) No conclusion can be drawn about church attendance as individuals grow older.