QUESTION 9 2.326 points A political scientist is interested in the relationship
ID: 3369860 • Letter: Q
Question
QUESTION 9 2.326 points 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? HO : POLITICS and OPTIMISM are dependent H1: POLITICS and OPTIMSM are independent 0H0: p1-p2" p3 p4-p5-0.2 H1: at least one of the p's is not equal to its specified value Ho: POLITICS and OPTIMISM are independent H1: POLITICS and OPTIMSM are dependent O Ho: POUTICS and OPTIMISM are independent H1: P(POLITICS)> PlOPTIMISM) Ho: POLITICS OPTIMISM H1: POLITICS is not equal to OPTIMSMExplanation / Answer
Solution
Q9
Hypotheses:
H0: Politics and Optimism are independent.
H1: Politics and Optimism are dependent. Option 3 ANSWER
Q10
Test Statistic: ?2 = 17.25 ANSWER
Details of Excel Calculations:
Oij
DF =
1
2
3
Oi.
1
120
68
189
377
2
91
90
228
409
3
102
71
133
306
O.j
313
229
550
1092
Eij
1
2
3
Total
1
108.0595
79.05952381
189.881
377
2
117.2317
85.77014652
205.9982
409
3
87.70879
64.17032967
154.1209
306
Total
313
229
550
1092
Chi-square
1
2
3
Total
1
1.319411
1.547100982
0.004087
2.8706
2
5.869585
0.208600092
2.349927
8.428111
3
2.3286
0.72688417
2.894426
5.94991
Total
9.517596
2.482585244
5.24844
17.24862
DONE
Oij
DF =
1
2
3
Oi.
1
120
68
189
377
2
91
90
228
409
3
102
71
133
306
O.j
313
229
550
1092
Eij
1
2
3
Total
1
108.0595
79.05952381
189.881
377
2
117.2317
85.77014652
205.9982
409
3
87.70879
64.17032967
154.1209
306
Total
313
229
550
1092
Chi-square
1
2
3
Total
1
1.319411
1.547100982
0.004087
2.8706
2
5.869585
0.208600092
2.349927
8.428111
3
2.3286
0.72688417
2.894426
5.94991
Total
9.517596
2.482585244
5.24844
17.24862
DONE
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