Table 2.12 shows data from a General Social Survey cross-classifying a person’s perceived happiness with their family income. The table displays the observed and expected cell counts and the standardized residuals for testing independence. For testing independence, X2 = 73.4. Report the df value and the P-value, and interpret. Interpret the standardized residuals in the corner cells having (i) counts 21 and 83, (ii) counts 110 and 94. question 1 and 2

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Table 2.12 shows data from a General Social Survey cross-classifying a person’s perceived happiness with their family income. The table displays the observed and expected cell counts and the standardized residuals for testing independence.

    1. For testing independence, X2 = 73.4. Report the df value and the P-value, and interpret.

    2. Interpret the standardized residuals in the corner cells having (i) counts 21 and 83, (ii) counts 110 and 94.

question 1 and 2

Table 2.12 Data for Exercise 2. 16, with estimated expected
frequencies and standardized residuals.
Happiness
Income
Not Too Happy Pretty Happy Very Happy
Above
21 (35.8)
159 (166.1)
110 (88.1)
average
-2.973
-0.947
3.144
Average
53 (79.7)
372 (370.0)
221 (196.4)
-4.403
0.224
2.907
Below
94 (52.5)
249 (244.0)
83 (129.5)
average
7.368
0.595
-5.907
Transcribed Image Text:Table 2.12 Data for Exercise 2. 16, with estimated expected frequencies and standardized residuals. Happiness Income Not Too Happy Pretty Happy Very Happy Above 21 (35.8) 159 (166.1) 110 (88.1) average -2.973 -0.947 3.144 Average 53 (79.7) 372 (370.0) 221 (196.4) -4.403 0.224 2.907 Below 94 (52.5) 249 (244.0) 83 (129.5) average 7.368 0.595 -5.907
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