In: Statistics and Probability
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The following table contains observed frequencies for a sample of 200.
Row Variable |
Column Variable | ||
---|---|---|---|
A | B | C | |
P | 18 | 42 | 48 |
Q | 32 | 28 | 32 |
Test for independence of the row and column variables using
α = 0.05.
State the null and alternative hypotheses.
H0: Variable P is independent of variable
Q.
Ha: Variable P is not independent of variable
Q.H0: The column variable is independent of the
row variable.
Ha: The column variable is not independent of
the row variable. H0:
The column variable is not independent of the row variable.
Ha: The column variable is independent of the
row variable.H0: Variable P is not independent
of variable Q.
Ha: Variable P is independent of variable
Q.
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 the column and row variables are independent.Do not reject H0. We cannot conclude that the column and row variables are independent. Do not reject H0. We cannot conclude that there is an association between the column variable and the row variable.Reject H0. We conclude that there is an association between the column variable and the row variable.