The test statistic of $$ z=0.03 $$ is obtained when testing the claim that $$ p \geqslant 0.55 $$. This is a right tailed tost Using a 0.01 significanco level, completo parts (a) and (b), Click here to view the standard normal distribution table for nogativo z. scoros. Click horo to view the standard normal distribution tablo for positivoz z. Scoros. a. Find the critical valuo(s). Select the correct choice below and fill in the answor box(0s) within your choice. (Round to two docimal places as noedod.) A. There is one critical value; the critical value is $$ \square $$ B. There are two eritical valuos; the lowor critical value is $$ \square $$ and the uppor critical valuo is $$ \square $$ 1

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1. Since this is a right‐tailed test with significance level $$\alpha=0.01$$, the rejection region is located in the right tail of the standard normal distribution.

2. The critical value is determined by finding the $$z$$-score such that the area to its right is $$\alpha=0.01$$. Equivalently, we look up the $$z$$-score corresponding to a cumulative probability of $$1 - 0.01 = 0.99$$.

3. From the standard normal distribution table, the $$z$$-score corresponding to a cumulative probability of $$0.99$$ is approximately $$z=2.33$$.

4. Therefore, there is one critical value and it is:

$$ \boxed{2.33} $$

Thus, the correct choice is:

A. There is one critical value; the critical value is $$2.33$$.
There is one critical value; the critical value is 2.33.

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