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

Solution

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: \[H_{0}: p \geq 0.62\] \[H_{1}: p < 0.62\]

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