To identify the 95% confidence interval that would estimate the true difference in the proportion of Republicans in New York and California:
Answer to Problem 13PT3
Explanation of Solution
Given information:
Where
Also
respectively
The formula for 95% confidence interval for true difference in the population proportion
Where
Calculation:
For the given problem
The critical value of Z at 5% level of significance is
Therefore from the formula the confidence interval will be,
Hence 95% confidence interval to estimate the true differences in the proportion of Republicans in the two cities is
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