18% 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). Ho:P H1:P

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**Hypothesis Testing for Car Crash Proximity**

**Problem Statement:**
18% of car crashes occur within 2 miles of the motorist's home. Express the null and alternative hypotheses in symbolic form for this claim (enter as a percentage).

**Symbolic Representation:**

- Null Hypothesis (\(H_0\)): 
   \[
   p = 18\%
   \]

- Alternative Hypothesis (\(H_1\)): 
   \[
   p \ne 18\%
   \]

In this setup, \(p\) represents the proportion of car crashes that occur within 2 miles of the motorist's home. The null hypothesis \(H_0\) suggests that the proportion is exactly 18%, while the alternative hypothesis \(H_1\) suggests that the proportion is different from 18%. 

These hypotheses will be tested using appropriate statistical methods to determine if there is significant evidence to reject the null hypothesis in favor of the alternative hypothesis.
Transcribed Image Text:**Hypothesis Testing for Car Crash Proximity** **Problem Statement:** 18% of car crashes occur within 2 miles of the motorist's home. Express the null and alternative hypotheses in symbolic form for this claim (enter as a percentage). **Symbolic Representation:** - Null Hypothesis (\(H_0\)): \[ p = 18\% \] - Alternative Hypothesis (\(H_1\)): \[ p \ne 18\% \] In this setup, \(p\) represents the proportion of car crashes that occur within 2 miles of the motorist's home. The null hypothesis \(H_0\) suggests that the proportion is exactly 18%, while the alternative hypothesis \(H_1\) suggests that the proportion is different from 18%. These hypotheses will be tested using appropriate statistical methods to determine if there is significant evidence to reject the null hypothesis in favor of the alternative hypothesis.
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