b) A recent news report claimed that 40% of those living in Wales would vote in favour of Welsh independence. In a random sample of 600 people living in Wales, 285 expressed that they would vote in favour of Welsh independence. (i) Test the null hypothesis that the proportion of those living in Wales that would vote in favour of Welsh independence is 40% against a two-sided alternative. Use a significance level of α=0.01.  ii) Does the statistical evidence support the news report’s claim that 40% of those living in Wales would vote in favour of Welsh independence? Explain your answer.

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.