Find the value of the test statistic. Find the p-value. (Round your ans
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
The second slide is the first part of the question and the first slide is the second part of the question.
![State your condusion.
O Do not reject H,. We condlude that church attendance is not independent of age.
O Reject H. We cannot condude that church attendance is not independent of age.
O Reject H. We condlude that church attendance is not independent of age.
O Do not reject H. We cannot conclude that church attendance is not independent of age.
What condlusion can you draw about church attendance as individuals grow older?
O Church attendance decreases as individuals grow older.
O No conclusion can be drawn about church attendance as individuals grow older.
O Church attendance increases as individuals grow older.
O Church attendance does not change as individuals grow older.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70237df8-dfb4-41d0-af11-e6f29414ce12%2F6bf60b37-c549-4a2c-986f-3c6f4855c9fc%2Fi94p2u_processed.jpeg&w=3840&q=75)
![A research group conducted a survey about church attendance. The survey respondents were asked about their church attendance and asked to indicate their age.
Age
Church
Attendance
20 to 29
30 to 39
40 to 49
50 to 59
Yes
29
61
92
70
No
71
89
108
80
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.
O H: Church attendance is independent of age.
H: Church attendance is not independent of age.
Church attendance is not independent of age.
Ho
H Church attendance is independent of age.
O H: Church attendance is not mutually exclusive from age.
Church attendance is mutually exclusive from age.
O H: Church attendance is mutually exclusive from age.
H : Church attendance is not mutually exdlusive 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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70237df8-dfb4-41d0-af11-e6f29414ce12%2F6bf60b37-c549-4a2c-986f-3c6f4855c9fc%2Fauhxmke_processed.jpeg&w=3840&q=75)
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