Answered: A research group conducted a survey…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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	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.

1. H₀: Church attendance is not independent of age.
H_a: Church attendance is independent of age.

2. H₀: Church attendance is independent of age.
H_a: Church attendance is not independent of age.

3. H₀: Church attendance is not mutually exclusive from age.
H_a: Church attendance is mutually exclusive from age.

4 H₀: Church attendance is mutually exclusive from age.
H_a: 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.

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

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

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

4. 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?

1. Church attendance increases as individuals grow older.

2. Church attendance decreases as individuals grow older.

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

4. Church attendance does not change as individuals grow older.

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