Suppose a polling agency reported that 45.7% of registered voters were in favor of raising income taxes to pay down the national debt. the agency states that results are based on telephone interviews with a random sample of 1033 registered voters. suppose the agency states the margin of error for 99% confidence is 4.0%. 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.

As per given , we have

p= 0.457

n= 1033

Margin of error for 99% confidence : E= 4%=0.04

Confidence interval :

i.e.

99% confidence interval for the proportion of registered voters who are in favor of raising income taxes to pay down the national debt. = (0.417, 0.497)

Interpretation : We are 99% sure that the true population proportion of registered voters who are in favor of raising income taxes to pay down the national debt lies in interval (0.417, 0.497).

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