Problem

At most $84 \%$ of car crashes occur within 2 miles of the motorists home. 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:
\[
\begin{array}{l}
\geq \text { enter }> = \\
\leq \text { enter }< = \\
\neq \text { enter ! = }
\end{array}
\]

Answer

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Answer

The null and alternative hypotheses in symbolic form for this claim are: \(H_{0}: p \geq 0.84\) and \(H_{1}: p < 0.84\).

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 proportion of car crashes that occur within 2 miles of the motorist's home is 84% or more.

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 would be that the proportion of car crashes that occur within 2 miles of the motorist's home is less than 84%.

Step 3 :The null and alternative hypotheses in symbolic form for this claim are: \(H_{0}: p \geq 0.84\) and \(H_{1}: p < 0.84\).

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