Question
A random sample of voters was taken, and individuals asked their opinion on making vaccinations compulsory for all adults, and the city they reside in.
A random sample of voters was taken, and individuals asked their opinion on making vaccinations compulsory for all adults, and the city they reside in. The researcher claims that the opinion on compulsory vaccinations is independent of city. Here are the results. Assume the conditions are satisfied.
Observed Frequencies | Agree | Disagree | Undecided | Total |
Adelaide | 12 | 10 | 5 | 27 |
Brisbane | 10 | 12 | 5 | 27 |
Canberra | 8 | 5 | 6 | 19 |
Darwin | 12 | 10 | 8 | 30 |
Hobart | 10 | 12 | 10 | 32 |
Melbourne | 10 | 8 | 6 | 24 |
Perth | 10 | 10 | 5 | 25 |
Sydney | 5 | 6 | 5 | 16 |
Total | 77 | 73 | 50 | 200 |
You are also told that the calculated test statistic is 4.6.
(Do NOT re-calculate this.)
a) Write down the hypotheses to test for independence.
b) Find the critical value if testing at the 10% level of significance.
d) Give your decision and the reasoning for your decision.
e) Give your conclusion in the context of this question.
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