Suppose that in a random selection of 100 colored candies, $23 \%$ of them are blue. The candy company claims that the percentage of blue candies is equal to $27 \%$. Use a 0.10 significance level to test that claim.
Identify the null and alternative hypotheses for this test. Choose the correct answer below.
A.
\[
\begin{array}{l}
H_{0}: p=0.27 \\
H_{1}: p \neq 0.27
\end{array}
\]
B. $H_{0}: p \neq 0.27$
\[
H_{1}: p=0.27
\]
c.
\[
\begin{array}{l}
H_{0}: p=0.27 \\
H_{1}: p> 0.27
\end{array}
\]
D.
\[
\begin{array}{l}
H_{0}: p=0.27 \\
H_{1}: p< 0.27
\end{array}
\]

Step 1 ：The null hypothesis (H0) is a statement of no effect or no difference. It is the hypothesis that the researcher is trying to disprove. In this case, the null hypothesis is that the proportion of blue candies is equal to 27%, as claimed by the candy company.

Step 2 ：The alternative hypothesis (H1) is a statement that contradicts the null hypothesis. It is the hypothesis that the researcher believes to be true. In this case, the alternative hypothesis is that the proportion of blue candies is not equal to 27%.

Step 3 ：Therefore, the correct answer is A. Final Answer: \[\boxed{\begin{array}{l} H_{0}: p=0.27 \\ H_{1}: p \neq 0.27 \end{array}}\]