The Ipsos polling organization conducted a national survey in 2019, finding that 295 of the sample of 1,005 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 2019. 

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.