Problem

Unit 3 Chapter 9: Lesson 9.1 Assignment
Score: $72 / 100 \quad 13 / 17$ answered
Question 5
More than $28 \%$ of people support stricter gun laws. Express the null and alternative hypotheses in symbolic form for this claim (enter as a percentage).
\[
\begin{array}{l}
H_{0}: p \\
H_{1}: p
\end{array}
\]
Use the following codes to enter the following symbols:
\[
\begin{array}{l}
\geq \text { enter }> = \\
\leq \text { enter }< = \\
\neq \text { enter ! }
\end{array}
\]
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Final Answer: \(\boxed{H_{0}: p \leq 0.28, H_{1}: p > 0.28}\)

Steps

Step 1 :The problem is asking to express the null and alternative hypotheses in symbolic form for the claim that more than 28% of people support stricter gun laws.

Step 2 :The null hypothesis (H0) is the hypothesis that the claim is not true. In this case, it would be that the percentage of people who support stricter gun laws is less than or equal to 28%.

Step 3 :The alternative hypothesis (H1) is the hypothesis that the claim is true. In this case, it would be that the percentage of people who support stricter gun laws is greater than 28%.

Step 4 :So, the null and alternative hypotheses in symbolic form for this claim are: \(H_{0}: p \leq 0.28\) and \(H_{1}: p > 0.28\)

Step 5 :Final Answer: \(\boxed{H_{0}: p \leq 0.28, H_{1}: p > 0.28}\)

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