Question 16 A political scientist is interested in the relationship between some

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Question 16

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 1102 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 = OPTIMISM

H1: POLITICS is not equal to OPTIMSM

H0 : POLITICS and OPTIMISM are independent

H1: P(POLITICS) > P(OPTIMISM)

H0 : POLITICS and OPTIMISM are independent

H1: POLITICS and OPTIMSM 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: µPolitics - µOptimism = 0

H1:   µPolitics - µOptimism 0

H0 : POLITICS and OPTIMISM are dependent

H1: POLITICS and OPTIMSM are independent

H0 : POLITICS = OPTIMISM

H1: POLITICS is not equal to OPTIMSM

H0 : POLITICS and OPTIMISM are independent

H1: P(POLITICS) > P(OPTIMISM)

H0 : POLITICS and OPTIMISM are independent

H1: POLITICS and OPTIMSM 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: µPolitics - µOptimism = 0

H1:   µPolitics - µOptimism 0

H0 : POLITICS and OPTIMISM are dependent

H1: POLITICS and OPTIMSM are independent

Explanation / Answer

right choice is third

here there are two attributes POLITICS AND OPTIMISM

to find out weather politics and optism are indpendent then we use chi-square for inependent of attributes and

null hypothesis H0 : POLITICS and OPTIMISM are independent

alternate hypothesis H1: POLITICS and OPTIMSM are dependent

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