A political scientist is interested in the relationship betw

A political scientist is interested in the relationship between someone\'s political views and his or her optimism about the future. A random sample of American adults 18 and over was taken and the following questions were asked:


1). What are your political views (conservative, slightly conservative, moderate, slightly liberal, liberal)?

(This variable is called \"POLITICS\" for short).


2). When your children are the age you are at right now, what do you believe their standard of living will be (much worse, somewhat worse, about the same, somewhat better, much better)?

(This variable is called \"OPTIMISM\" for short).


The researcher decides to conduct a chi-squared test of independence at the 0.05 level of significance. What are the null and alternative hypotheses?

H₀ : POLITICS and OPTIMISM are independent

H₁: P(POLITICS) > P(OPTIMISM )

H₀ : POLITICS and OPTIMISM are dependent

H₁: POLITICS and OPTIMISM are independent

H₀ : POLITICS and OPTIMISM are independent

H₁: POLITICS and OPTIMISM are dependent

H₀: p₁= p₂= p₃ = p₄ = p₅ = 0.2

H₁: at least one of the p\'s is not equal to its specified value

H₀ : POLITICS = OPTIMISM

H₁: POLITICS is not equal to OPTIMISM

Solution

Here, we run a chi^2 test of independence. Thus, the null and alternative hypotheses are

OPTION C: H0 : POLITICS and OPTIMISM are independent

H1: POLITICS and OPTIMISM are dependent [ANSWER, C]