In: Statistics and Probability
1. Following the UK referendum in 2016, 910 randomly sampled UK voters were asked which of the following options they agreed most with (i) the UK should negotiate an exit deal with the EU, then have a second referendum, (ii) the UK should negotiate an exit deal with the EU then enact Article 50, or (iii) the UK should enact Article 50 immediately. The results of the survey by political ideology are shown below.
Po/itico/ ideology
Conservative |
Labour |
Liberal |
Total |
|
(i)Negotiate then referendum |
57 |
120 |
101 |
278 |
(ii)Negotiate then enact |
121 |
113 |
28 |
262 |
(iii) Enact Article 50 immediately |
179 |
126 |
1 |
306 |
(iv) Not sure |
15 |
4 |
45 |
64 |
Total |
372 |
363 |
175 |
910 |
(a) Here total labors = 363
Total population = 910
Percent of voters that are labour = 363/910 = 0.3989
(b) Total who suport artical 50 immediately = 306
percent of voters that support article 50 immediately = 306/910 = 0.3363
(c) Number of voters who are in conservative = 372
Conservative People who are in favour of negotiate then referendum' option = 57
Percent of the voters who identify themselves as Conservatives are also in favour of the “negotiate then referendum” option
= 57/372 = 0.1532
Number of voters who are in labour = 363
Labour People who are in favour of negotiate then referendum' option = 120
Percent of the voters who identify themselves as labour are also in favour of the “negotiate then referendum” option
= 120/363 = 0.331
Number of voters who are Liberal = 175
Liberal People who are in favour of negotiate then referendum' option = 101
Percent of the voters who identify themselves as Liberalare also in favour of the “negotiate then referendum” option
= 101/175 = 0.577
(d) Here to check the independence first we check the percent of each party views on Article 50.
we will see first for negotiate than referendum
Percent of the voters who identify themselves as Conservatives are also in favour of the “negotiate then referendum” option
= 57/372 = 0.1532
Percent of the voters who identify themselves as labour are also in favour of the “negotiate then referendum” option
= 120/363 = 0.331
Percent of the voters who identify themselves as Liberalare also in favour of the “negotiate then referendum” option
= 101/175 = 0.577
here as we can see that there is a stark difference in percentage of the voters for each party so we can say that views for each party is different on Article 50.