A researcher was interested if there is a relationship between marital status (single or married) and type of television program preferred (drama, comedy, action, or documentary). 48 married and 52 single individuals indicted their preferred program type. A chi-square test of independence was conducted. α = .05, = 8.14, and . Which of the following is correct for reporting the results?

Question

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We use the chi-square test of independence to test if there is a relationship between two categorical variables. Here, the two categorical variables are marital status (single or married) and type of television program preferred. The null hypothesis is that there is no relationship between the two variables, and the alternative hypothesis is that there is a relationship.

The degrees of freedom for a chi-square test of independence are calculated by (number of rows - 1) x (number of columns - 1). In this case, we have 2 rows (married and single) and 4 columns (drama, comedy, action, and documentary), so the degrees of freedom are (2-1) x (4-1) = 3.

The obtained chi-square value is 8.14 with 3 degrees of freedom, and the p-value is less than .05. This means that we reject the null hypothesis and conclude that there is a relationship between marital status and type of television program preferred.

Therefore, the correct answer is A: Reject H₀, χ² (3 df, n = 100) = 8.14, p < .05.

A Researcher Was Interested If There Is a Relationship Between