Problem

Less than $26 \%$ of phone numbers in a certain city are unlisted. Express the null and alternative hypotheses in symbolic form for this claim (enter as a percentage).
\[
\begin{array}{l}
H_{0}: p \\
H_{1}: p
\end{array}
\]

Answer

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Answer

Final Answer: \[\boxed{H_{0}: p = 0.26} \] \[\boxed{H_{1}: p \neq 0.26} \]

Steps

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 would be that the percentage of unlisted phone numbers is equal to 26%.

Step 2 :The alternative hypothesis (H1) is a statement that contradicts the null hypothesis. It is the hypothesis that the researcher is trying to prove. In this case, the alternative hypothesis would be that the percentage of unlisted phone numbers is not equal to 26%.

Step 3 :Since we are not given any data to perform a statistical test, we cannot write a Python code to solve this problem. However, we can express the null and alternative hypotheses in symbolic form.

Step 4 :Final Answer: \[\boxed{H_{0}: p = 0.26} \] \[\boxed{H_{1}: p \neq 0.26} \]

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