Surveys have been widely used by politicians around the world as a way of monitoring the opinions of the electorate. Six months ago, a survey was undertaken to determine the degree of support for national party leader. Of a sample of 1,100, 56% indicated that they would vote for this politician. This month, another survey of 800 voters revealed that 46% now support the leader.
Question: At the 5% significance level, can we infer that the national leader's popularity has decreased?
This solution provides a detailed, step by step response which is contained in a Word document. All the necessary formulas, calculations and criteria needed in order to reject or fail to reject the hypothesis has been explained.