a) chi square test
b) level of significance = 0.05
c) ho: health an happiness are not related
ha: health an happiness are not related
d)
Expected frequency of a cell = sum of row*sum of column / total sum | |||||||
Expected Frequencies | |||||||
h | g | f | p | Total | |||
vh | 551*634/1996=175.017 | 931*634/1996=295.718 | 405*634/1996=128.642 | 109*634/1996=34.622 | 634 | ||
ph | 551*1098/1996=303.105 | 931*1098/1996=512.143 | 405*1098/1996=222.791 | 109*1098/1996=59.961 | 1098 | ||
nth | 551*264/1996=72.878 | 931*264/1996=123.138 | 405*264/1996=53.567 | 109*264/1996=14.417 | 264 | ||
Total | 551 | 931 | 405 | 109 | 1996 |
e) expected frequencies are greter than 5
f)
Chi-Square Test Statistic,χ² = Σ(fo-fe)^2/fe =
182.1737
Level of Significance = 0.05
Number of Rows = 3
Number of Columns = 4
Degrees of Freedom=(#row - 1)(#column -1) = (3- 1 ) * ( 4- 1 )
= 6
p-Value = 0.0000
g) reject ho
h) there is enough evidence that health and happinesss are related
Please help step by step thank you ? 1. The following data represent the level of...
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