A research center claims that at least 23% of adults in a certain country think that their taxes will be audited. In a random sample of 600 adults in that country in a recent year, 19% say they are concerned
that their taxes will be audited. At $α = 0.05$, is there enough evidence to reject the center's claim? Complete parts (a) through (d) below.
(Round to two decimal places as needed.)
A. $H_0: p \ge 0.23$
$H_a: p < 0.23$
OD. $H_0: p <$
$H_a: p \ge$
OB. $H_0: p >$
$H_a: p \le$
E. $H_0: p \neq$
$H_a: p =$
OC. $H_0: p \le$
$H_a: p >$
OF. $H_0: p =$
$H_a: p \neq$
(b) Find the critical value(s) and identify the rejection region(s).
Identify the critical value(s) for this test.
$z_0 =$
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) to complete your choice.
(Round to two decimal places as needed.)
OA. The rejection region is $z >$.
OB. The rejection region is $< z <$
OC. The rejection regions are $z <$ and $z >$.
OD. The rejection region is $z <$.
(c) Find the standardized test statistic z.
$z =$
(Round to two decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.
the null hypothesis. There
enough evidence to
the center's claim.