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'). (2) Have the necessary conditions been been met to allow us to calculate a confidence interval for the proportion of statistics students who are Commerce students from this sample?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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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').

(2) Have the necessary conditions been been met to allow us to calculate a confidence interval for the proportion of statistics students who are Commerce students from this sample? 

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