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)?
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)?
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