Table 1: Family structure and family income Family structure Total family income
ID: 3052690 • Letter: T
Question
Table 1: Family structure and family income Family structure Total family income Below poverty level Not below poverty level Total Two parents 20 45 65 One parent Total 24 56 100 35 (1) (4 points) Calculate the percentages associated with each cell and complete Table 2 using your answers. (2) (1 point) State the null hypothesis (3) (5 points) Calculate the chi-square. Please show your work. Draw a table just like the Table 1 above, leaving room in each cell to record your following calculations: observed frequency (%), expected frequency (fe), fo - fe, (fo - fe), (fo - fe)2/fe (4) (1 point) Calculate the degree of freedom for this study. Table 2: Question 2.1 Family structure One parent Two parents Total Total family income Below poverty level Count Percent Not below poverty level Count Percent Count Percent 24 20 45 65 56 Total 35 100 100% page 3 for the chi-square table) 0.05 level of significance? Justify your answer 0.01 level of significance? Justify your answer (5) (1 point) Write down the appropriate critical value using the .05 level of significance (see (6) (1 point) Should you reject the null hypothesis or fail to reject the null hypothesis at the (7) (1 point) Should you reject the null hypothesis or fail to reject the null hypothesis at theExplanation / Answer
b)
H0: Family income and family structure are Independent
H1: Family income and familiy structure are not independent
?2 = 13.194, df = 1, ?2/df = 13.19 , P(?2 > 13.194) = 0.0003
Since p - value is < 0.05, we reject Ho
At 1% significane level
p- value < 0.01, so we reject Ho
So we have enough evidence that family income and family structure are dependnent
One parent Two parents Below poverty line 24
15.40
( 4.80) 20
28.60
( 2.59) 44 Above poverty line 11
19.60
( 3.77) 45
36.40
( 2.03) 56 35 65 100
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