Problem

Less than $62 \%$ 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).
\[
H_{0}: p
\]
\[
H_{1}: p
\]
Use the following codes to enter the following symbols:
\[
\begin{array}{l}
\geq \text { enter > = } \\
\leq \text { enter }< = \\
\neq \text { enter ! }
\end{array}
\]
Question Help: $\square$ Video $D$ Post to forum
Submit Question

Answer

Expert–verified
Hide Steps
Answer

The null and alternative hypotheses in symbolic form for this claim are: \[H_{0}: p \geq 0.62\] \[H_{1}: p < 0.62\]

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 62% or more of car crashes occur within 2 miles of the motorist's home.

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 less than 62% of car crashes occur within 2 miles of the motorist's home.

Step 3 :The null and alternative hypotheses in symbolic form for this claim are: \[H_{0}: p \geq 0.62\] \[H_{1}: p < 0.62\]

link_gpt