the numbers (in thousands) by gender and marital status, of the 2004 U.S. popula
ID: 2975339 • Letter: T
Question
the numbers (in thousands) by gender and marital status, of the 2004 U.S. population aged 15 and over are shown in the next table
Never Married Married Widowed Divorced Totals
Females 23,655.0 63,282.0 11,141.0 12,804.0 110,883.0
Males 29,561.0 62,483.0 2,641.0 8,956.0 103,641.0
Totals 53,216.0 125,765.0 13,782.0 21,760.0 214,524.0
Answer the following question based on the information given in the preceding table.
a) find the conditional distribution of marital status for females
b) find the conditional distribution of marital status for males
c) Is marital status independent of gender? Is necessary to find both conditional distributions to answer this question? justify your answers
Explanation / Answer
a) P(married female given in total married female)= Marital status/total married = 63282/(110883 - 23655) =0.725478058 b) P(married male given in total married male)= Marital status/total married = 62483/(103641-29561) = 0.843453024 c) P(married person given in total married person)= Marital status/total married= 125765/(214524-53216) = 0.77965755 0.725478058 * 0.843453024 = 0.611906662 which is not equal to 0.77965755. Hence, Marital status is not independent of gender.
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