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 | 33 | 65 | 96 | 74 |
No | 67 | 85 | 104 | 76 |
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 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 not independent of age.
Ha: Church attendance is 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 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.Reject H0. We cannot 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.
The statistical software output for this problem is:
Hence,
Hypotheses:
H0: Church attendance is independent of
age.
Ha: Church attendance is not independent of
age.
Test statistic = 7.836
P - value = 0.0495
Reject H0. We conclude that church attendance is not independent of age.
Church attendance increases as individuals grow older.
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