Hypothesis Testing : Change in Popularity over time
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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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Solution Summary
Solution describes the steps in hypothesis testing that popularity of a politician has decreased over time by using survey results.
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Solution :
a) At the 5% significance level, can we infer that the national leader's popularity has decreased?
=1100, =0.56 (Past Poll results)
=800, =0.46 (Recent Poll results)
Overall proportion of Popularity is given by
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Education
- BEng (Hons) , Birla Institute of Technology and Science, India
- MSc (Hons) , Birla Institute of Technology and Science, India
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