8.39 Checking the demographics of a sample.

CASE 8.2 Of the 500 households that responded to the Christmas tree marketing survey, 38% were from rural areas (including small towns), and the other 62% were from urban areas (including suburbs). According to the census, 36% of Indiana households are in rural areas, and the remaining 64% are in urban areas. Let be the proportion of rural respondents. Set up hypotheses about , and perform a test of significance to examine how well the sample represents the state in regard to rural versus urban residence. Summarize your results.