5 . The results of a 1994 political poll in Quebec were stated as follows. \"10%

ID: 3352945 • Letter: 5

Question

5 . The results of a 1994 political poll in Quebec were stated as follows.

"10% of the electorate sampled had not yet taken a firm position on the sovereignty

issue. Results for a poll of this size are considered accurate to within plus or minus

3.1 percentage points, 19 times out of 20."

Fro m the information given above, find

(a) the estimate of the true proportion of the electorate who have not taken a firm position on the sovereignty issue.

(b) the margin of error.

(c) the confidence interval for the true proportion of the electorate who have not taken a firm position on the sovereignty issue.

(d) the level of confidence of the interval in (c).

a) estimate of the true proportion of the electorate who have not taken a firm position on the sovereignty issue

=0.1

b) margin of error =0.031

c) confidence interval for the true proportion =estimated proportion -/+ margin of error

=(0.1-0.031 ; 0.1 +0.031) =0.069 ; 0.131

d) level of confidence =(19/20)*100 =95%

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