Question

A school administrator believes that there is no difference between student dropout rate for schools located in rural areas and schools located in urban areas. A random sample of 100 schools in the rural areas was taken. The student dropout rate of the schools in the sample was 27%. A random sample of 80 schools in the urban areas had a dropout rate of 20%.
a. Give a point estimate for the difference between the population proportions for the two districts.
b. Give a point estimate of the standard deviation for the difference between the population proportions.
c. Compute the test statistic for testing the administrator's belief.
d. At 95% confidence using the p-value approach, test the administrator's belief.

Answer

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