## Related questions with answers

Who prepares your tax return? Refer to the Behavioral Research and Accounting (January 2015) study on income tax compliance, Exercise $5.50$ (p. 297). Recall that in a sample of 270 U.S. adult workers, the researchers found that $37 \%$ prepare their own tax return. Construct a $99 \%$ confidence interval for the true proportion of all U.S. adult workers who prepare their own tax return.

Solution

VerifiedGiven:

$\begin{aligned} n&=\text{Sample size}=270 \\ \hat{p}&=\text{Sample proportion}=37\%=0.37 \\ c&=\text{Confidence coefficient}=99\%=0.99 \end{aligned}$

We need to determine a confidence interval about the population proportion $p$.

The confidence interval about the population proportion is $\hat{p}\pm E$ with $E=z_{\alpha/2}\cdot \sqrt{\dfrac{\hat{p}\hat{q}}{n}}$.

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