According to the Censuss Population Survey the percentage of

According to the Census’s Population Survey, the percentage of children with two parents at home is the highest for Asians and lowest for blacks (USA TODAY, February 26, 2009). It is reported that 85% of Asian children have two parents at home versus 78% of white, 70% of Hispanic, and 38% of black. Suppose there are 500 students in a representative school of which 280 are white, 50 are Asian, 100 are Hispanic, and 70 are black.

Construct a contingency table that shows the qualitative variables Race and Both Parents at Home.(Round your answers to the nearest whole number.)

Race

State the hypotheses to conduct the test to determine whether the variables Race and Both Parents at Home are dependent.

Conduct a test at the 1% significance level to determine whether the variables Race and Both Parents at Home are dependent.

Solution

Both Parents                      
at Home   Asian   White   Hispanic   Black   Total  
Yes   42   218   70   27   357  
No   8   32   30   43   113  
                      
Total   50   280   100   70   470