MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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The following table contains observed frequencies for a sample of 240.
| Row Variable |
Column Variable | ||
|---|---|---|---|
| A | B | C | |
| P | 20 | 30 | 20 |
| Q | 30 | 60 | 25 |
| R | 10 | 15 | 30 |
Test for independence of the row and column variables using
? = 0.05.
1) State the null and alternative hypotheses:
A) H0: The column variable is independent of the row variable.
Ha: The column variable is not independent of the row variable.
Ha: The column variable is not independent of the row variable.
B) H0: Variable P is not independent of variables Q and R.
Ha: Variable P is independent of variables Q and R.
Ha: Variable P is independent of variables Q and R.
C) H0: The column variable is not independent of the row variable.
Ha: The column variable is independent of the row variable.
Ha: The column variable is independent of the row variable.
D) H0: Variable P is independent of variables Q and R.
Ha: Variable P is not independent of variables Q and R.
Ha: Variable P is not independent of variables Q and R.
2)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 =
3)State your conclusion:
A) Do not reject H0. We cannot conclude that the column and row variables are not independent.
B) Do not reject H0. We cannot conclude that the column and row variables are independent.
C) Reject H0. We conclude that the column variable is not independent of the row variable.
D) Reject H0. We conclude that the column and row variables are independent.
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