Suppose we are interested in the proportion of statistics students at this university who are Commerce students.  We do a survey of 10 randomly selected students and ask them to indicate if they are Commerce students or not by ticking a box marked 'Commerce' or a box marked 'not Commerce' on the survey form.  When we get the responses, we find that 3 students have ticked the box marked 'Commerce' (7 have ticked the box marked 'not Commerce'). Our sample size is now definitely big enough for us to assume that the sampling distribution of the sample proportion is approximately normal. (4) Using the second sample, what expression would we use to estimate the standard deviation of this sampling distribution (also known as the standard error)?

i already did multiple choice just find the test statistic

Department of Education was analysing the average mathematics test score in the schools in Victoria. It noticed that there were dramatic differences in scores among the schools. In the attempt to improve the scores of all the schools, department attempted to determine the factors that account for the differences. Accordingly, they took a random sample of 40 schools across the state and for each determined the mean test score last year, the percentage of teachers in the schools who have at least one university degree in mathematics, the mean age and the mean annual income of the mathematics teachers. The following is regression output from Excel.               SUMMARY OUTPUT                     Regression Statistics         Multiple R 0.597512         R Square 0.357021         Adjusted R Square 0.303439         Standard Error 7.724526         Observations 40                     ANOVA             df SS MS F Significance F…

please explain!