Surveys have been widely used by politicians around the world as a way of monitoring opinions of the electorate. Six months ago, a survey was undertaken to determine the degree of support for a national party leader. Of a sample of 800, 53% indicated that they would vote for this politician. This month, another survey of 725 revealed that 48% now support the leader.
a. Give a point estimate for the difference between the support now and the support 6 months ago.
b. At the 5% significance level, can we infer that the national leader’s popularity has decreased?
c. Construct a 95% confidence
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Construct a 95% confidence interval estimate for the difference between the support now and six months ago.