Expand Your Knowledge: Stratifi ed Sampling and Politics Three local districts are “swing” districts for an upcoming election on a contentious political issue. A survey will be conducted in which voters will be asked to rate their opinion regarding this issue on a scale of 0 (strongly oppose)

to 10 (strongly support). A small preliminary random sample from each district was used to estimate the sample standard deviation s of responses for the district. The following table shows the number of voters N in each district and the sample standard deviation s of strength of support in each district.

District 1 District 2 District 3 N1 5 1525 N2 5 917 N3 5 2890 s1 5 2.2 s2 5 1.4 s3 5 3.3 We have a total population of 5332 voters and 3 strata (districts.)

The group doing the survey has enough funding to obtain a random sample of m = 250 total responses from all the districts.

(a) Compute the size of the random samples n1, n2, n3 to taken from each district. Round each sample size to the nearest whole number and make sure they add up to m 5