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Hypothesis Tests with Two Independent Proportions

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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 a 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.

a) At the 5% significance level, can we infer that the national leader's popularity has decreased?

b) At the 5% significance level, can we infer that the national leader's popularity has decreased by more than 5%?

c) Estimate with 95% confidence the decrease in percentage support between now and 6 months ago.

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This solution provides answers in Excel for hypothesis tests with two independent proportions.

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