A high-school administrator wants to know whether urban and rural parents differ with regard to the number of hours they want their children to attend school. She takes two random samples of parents,...

A high-school administrator wants to know whether urban and rural parents differ with regard to the number of hours they want their children to attend school. She takes two random samples of parents, 200 from urban areas and 300 from rural areas, asking each parent whether they favor, oppose, or have no opinion on longerschool days. Of the urban parents, she finds that 1 23 favor, 36 oppose, and 4 1 have no opinion. Of the rural parents, she finds that 1 45 favor, 85 oppose, and 70 have no opinion. Do a chi-square test, at IX = 0.01 , of Ho :Opinion about lengthening the school day is not related to whether the parents live in an urban area or in arural area. Give the value of the test statistic. State whether you accept or reject Ho and give the approximate_probability of getting this X2* given that Ho is true.