A randomly selected sample of 910 voters from Tampa, FL were asked if they thoug

Question

A randomly selected sample of 910 voters from Tampa, FL were asked if they thought workers who have illegally entered the United States should be (i) allowed to keep their jobs and apply for US citizenship, (ii) allowed to keep their jobs as temporary guest workers but not allowed to apply for US citizenship, or (iii) lose their jobs and must leave the country. The results of the survey by political ideology are shown below .65. (a) What percent of these Tampa, FL voters identify themselves as conservatives? (b) What percent of these Tampa, FL voters are in favor of the citizenship option? (c) What percent of these Tampa, FL voters identify themselves as conservatives and are in favor of the citizenship option? (d) What percent of these Tampa, FL voters who identify themselves as conservatives are also in favor of the citizenship option? What percent of moderates and liberal share this view? (e) Do political ideology and views on immigration appear to be independent? Explain your reasoning.

Explanation / Answer

(a)

Out of 910 voters, 372 identify themselves as conservative so requried percentage is

P(conservative) = 372 / 910= 0.4088 = 40.88%

(b)

Out of 910 voters, 278 identify are in favor of the citizenship option so requried percentage is

P(citizenship) = 278 / 910= 0.3055 = 30.55%

(c)

Out of 910, 57 identify themselves as conservative and in favor of citizenship so

P(conservative and citizenship) = 57/910 = 0.0626 =6.26%

(d)

Oout of 372 voters who identify themselves as conservatives, 57 are in favor of citizen ship so

P(citizenship|conservatives) = 57 /372 = 0.1532 =15.32%

Likewise

P(citizenship|moderate) = 120/363 = 0.3306 = 33.06%

P(citizenship|liberal) = 101/175 = 0.5771 = 57.716%

(e)

Since P(conservative and citizenship) not equal to P(citizenship)P(conservative) so pilitical ideology and immigration are not independent.

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