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In March a poll indicates that 104 out of 250 voters are in favor of initiative...

In March a poll indicates that 104 out of 250 voters are in favor of initiative A. In October another (independent of the first one) indicates that 140 out of 300 voters are in favor of initiative A. (a) Find a confidence interval for the difference of proportions of voters in favor of initiative A in March and October. (b) Based on (a) would you say that there is statistical evidence that support has increased for initiative A?

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Answer #1

The proportion of voters in favor of initiative A In March is p1 = 104/250 =0.416

The proportion of voters in favor of initiative A in October is p2 = 140/300 = 0.467

The 95% CI for difference in proportion of voters is

Answer: The 95% CI is between ( -0.0545, -0.0475)

b) The negative value of both limits of confidence interval shows that the proportion of voters in favor of initiative A In March is less than proportion of voters in favor of initiative A In October.

Hence we have enough statistical evidence that support has increased for initiative A.

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