The following table contains observed frequencies for a sample of 200 . Test for independence of the row and column variables using $? = 0.05$ . State the null and alternative hypotheses. $H_{0}$ : The column variable is independent of the row variable. $H_{a}$ : The column variable is not independent of the row variable. $H_{0}$ : Variable $P$ is independent of variable $Q$ . $H_{a}$ : Variable $P$ is not independent of variable $Q$ .

Question

The following table contains observed frequencies for a sample of 200 . Test for independence of the row and column variables using

? = 0.05

. State the null and alternative hypotheses.

H_{0}

: The column variable is independent of the row variable.

H_{a}

: The column variable is not independent of the row variable.

H_{0}

: Variable

P

is independent of variable

Q

.

H_{a}

: Variable

P

is not independent of variable

Q

.

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