Question

In: Statistics and Probability

Regime Type France    Spain U.K.    Total Dictatorship    16 5    18    39...

Regime Type France    Spain U.K.    Total

Dictatorship    16 5    18    39   

Parliamentary democracy    0 2 13 15

Presidential Democracy 3    13    9 25

Total 19    20    40 79

A) Calculate the chi-square for this table. Show your work. Draw a table just like the one above, leaving room in each cell to record these numbers:

observed frequency (fo), expected frequency (fe), fo - fe (fo - fe)2 , and (fo -fe)2/fe

Total

Solutions

Expert Solution

Regime Type France     Spain U.K Total
Dictatorship     16 5 18 39
Parliamentary democracy 0 2 13 15
Presidential Democracy 3 13 9 25
Total 19 20 40 79

Expected Table

Regime Type France     Spain U.K Total
Dictatorship     (39 * 19) / 79 = 9.3797 (39 * 20) / 79 = 9.8734 (39 * 40) / 79 = 19.7468 39
Parliamentary democracy (15 * 19) / 79 = 3.6076 (15 * 20) / 79 = 3.7975 (15 * 40) / 79 = 7.5949 15
Presidential Democracy (25 * 19) / 79 = 6.0127 (25 * 20) / 79 = 6.3291 (25 * 40) / 79 = 12.6582 25
Total 19 20 40 79

Chi square table

Oi Ei ( Oi - Ei ) ( Oi - Ei )2 ( Oi - Ei )2 / Ei
16 9.3797 6.6203 43.8284 4.6727
5 9.8734 -4.8734 23.75 2.4055
18 19.7468 -1.7468 3.0513 0.1545
0 3.6076 -3.6076 13.0148 3.6076
2 3.7975 -1.7975 3.231 0.8508
13 7.5949 5.4051 29.2151 3.8467
3 6.0127 -3.0127 9.0764 1.5095
13 6.3291 6.6709 44.5009 7.0312
9 12.6582 -3.6582 13.3824 1.0572
Total 79 78.9999 1E-04 183.0503 25.1357

Test Statistic :-
X2 = Σ (Oi - Ei )2 / Ei
X2 = 25.1357

orchestra answered 2 years ago
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