The Harris polling organization conducted a national survey in 2008, finding that 14% of the sample of 2,302 American adults had a tattoo.
a. Use the Theory-Based Inference applet to determine a 99% confidence interval for the population proportion of adult Americans who had a tattoo in 2008.
b. Which possible values for the population proportion would not be rejected at the 0.01 significance level? Explain how you can tell based on the confidence interval, without performing any tests.