Here are the demographics on marital status for LAHC students in AY 1997-1998, t

Question

Here are the demographics on marital status for LAHC students in AY 1997-1998, the first year I taught statistics for the PACE program: Proportions: 65% Single; 25% Married; 8% Divorced; 2% Widowed. 10,000 students are enrolled this year (AY 2013-2014) 5800 Single; 2000 Married; 2150 Divorced; 50 Widowed. Are these proportions in line with expected totals based on the data from 15 years ago? Here are the demographics on marital status for LAHC students in AY 1997-1998, the first year I taught statistics for the PACE program: Proportions: 65% Single; 25% Married; 8% Divorced; 2% Widowed. 10,000 students are enrolled this year (AY 2013-2014) 5800 Single; 2000 Married; 2150 Divorced; 50 Widowed. Are these proportions in line with expected totals based on the data from 15 years ago? Here are the demographics on marital status for LAHC students in AY 1997-1998, the first year I taught statistics for the PACE program: Proportions: 65% Single; 25% Married; 8% Divorced; 2% Widowed. 10,000 students are enrolled this year (AY 2013-2014) 5800 Single; 2000 Married; 2150 Divorced; 50 Widowed. Are these proportions in line with expected totals based on the data from 15 years ago?

Explanation / Answer

here applying chi square goodness of test on above:

for above test statistics =2566.010  

degree of freedom =number of categories -1 =4-1 =3

for test statiistic and 3 degree of freedom; p value =0.0000

as probability of that happening is extremely rare therefore these proportions are not in line with expected totals based on the data from 15 years ago

please revert for any clarification required

observed Expected Chi square Type Probability O E=total*p =(O-E)^2/E single 0.650 5800.000 6500.00 75.38 married 0.250 2000.000 2500.00 100.00 divorced 0.080 2150.000 800.00 2278.13 widowed 0.020 50.000 200.00 112.50 1 10000 10000 2566.010

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