b) Suppose a certain unknown proportion F of voters support a particular politic
ID: 3317701 • Letter: B
Question
b) Suppose a certain unknown proportion F of voters support a particular political candidate in the
upcoming election, and you are interested in making inferences about F . You ask a pollster to perform a
survey of n people at random from the population, ask each person whether they support the candidate,
and report the sequence of their responses. Instead, the pollster just records the total number of people
out of n who said that they support the candidate. Do you need to redo the survey? Why or why not?
Explanation / Answer
Here, we would like to know the proportion of people who support a particular candidate and hence we would need to know both (the number of people who support that candidate and the total number). As it seems that the pollster has only recorded the total number out of n who support that particular candidate, there is a need that the pollster re does the survey again and with both the figures (i.e. total number and total number of people who support that candidate)
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