g An article reported the results of a survey of 400 elementary school teachers and 500 high school teachers. Of the elementary
school teachers, 100 said they were very satisfied with their jobs, whereas 200 of the high school teachers were very satisfied with their work. We wish to do hypothesis testing to check that true proportion of elementary school teachers and high school teachers who were very satisfied with their jobs differs from each other. Write the formula and calculate the value of the estimate of the standard error of the sample statistics, you would use in finding test statistic, assuming null hypothesis is true. ( Round your answer to 3 decimal places)
