At least $$ 82 \% $$ of people support stricter gun laws. Express the null and alternative hypotheses in symbolic form for this claim (enter as a percentage). $$ H_{0}: p $$ $$ H_{a}: p $$

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$$ H_{0}: p \geq 82\% $$

$$ H_{a}: p < 82\% $$

Step-by-step explanation:

1. The claim is that "at least $$82\%$$ of people support stricter gun laws," which means the proportion $$p$$ is $$82\%$$ or higher.
2. In hypothesis testing, the claim is usually incorporated into the null hypothesis. Thus, the null hypothesis is that $$p$$ is at least $$82\%$$, or $$p \geq 82\%$$.
3. The alternative hypothesis represents the scenario where the claim is not true, meaning the proportion is less than $$82\%$$, or $$p < 82\%$$.
$$ H_{0}: p \geq 82\% $$ $$ H_{a}: p < 82\% $$

At least of people support stricter gun laws. Express the null and alternative hypotheses in symbolic
form for this claim (enter as a percentage).

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At least of people support stricter gun laws. Express the null and alternative hypotheses in symbolic form for this claim (enter as a percentage).