Answer:
The 95% confidence interval for the proportion of registered voters who are in favor of raising income taxes to pay down the national debt is (45%, 51%). This means that we are 95% sure that the true proportion of all registered voters who are in favor of raising income taxes to pay down the national debt is between these two values, of 45% and 51%.
Step-by-step explanation:
A confidence interval is the sample proportion plus/minus the margin of error.
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
In this question:
Sample proportion of 48%.
Suppose the agency states the margin of error for 95% confidence is 3.0%. Determine and interpret the confidence interval for the proportion of registered voters who are in favor of raising income taxes to pay down the national debt.
48% - 3% = 45%
48% + 3% = 51%
The 95% confidence interval for the proportion of registered voters who are in favor of raising income taxes to pay down the national debt is (45%, 51%). This means that we are 95% sure that the true proportion of all registered voters who are in favor of raising income taxes to pay down the national debt is between these two values, of 45% and 51%.
