A researcher claims that at least 10% of all football helmets have manufacturing flaws that could potentially cause injury to t A sample of 200 helmets revealed that 16 helmets contained such defects. Does this finding support the researcher's claim? a = 0.03. Find the P-value. The proportion of football helmets with flaws does not exceed The P-value is i 0.1736 10%. . Round your answer to four decimal places (e.g. 12.3456).

MATLAB: An Introduction with Applications
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answer is not 0.1736

**Educational Content: Evaluating Claims About Football Helmet Defects**

**Scenario**: A researcher claims that at least 10% of all football helmets have manufacturing flaws that could potentially cause injury to the wearer. A sample of 200 helmets was examined, and 16 helmets were found to contain such defects. We need to determine if this finding supports the researcher’s claim. The significance level is \( \alpha = 0.03 \).

**Objective**: Find the P-value.

**Hypotheses**:
- Null Hypothesis (\(H_0\)): The proportion of football helmets with flaws does not exceed 10%.
- Alternative Hypothesis (\(H_1\)): The proportion of football helmets with flaws exceeds 10%.

**Calculation**:
The P-value is calculated to be **0.1736**. 

**Instructions**: Make sure to round your answer to four decimal places (e.g., 12.3456).

By comparing the calculated P-value (0.1736) with the significance level (\(\alpha = 0.03\)), we can determine whether the null hypothesis should be rejected in favor of the alternative hypothesis. 

**Note**: This analysis helps in assessing the validity of the researcher's claim about the proportion of defective football helmets.
Transcribed Image Text:**Educational Content: Evaluating Claims About Football Helmet Defects** **Scenario**: A researcher claims that at least 10% of all football helmets have manufacturing flaws that could potentially cause injury to the wearer. A sample of 200 helmets was examined, and 16 helmets were found to contain such defects. We need to determine if this finding supports the researcher’s claim. The significance level is \( \alpha = 0.03 \). **Objective**: Find the P-value. **Hypotheses**: - Null Hypothesis (\(H_0\)): The proportion of football helmets with flaws does not exceed 10%. - Alternative Hypothesis (\(H_1\)): The proportion of football helmets with flaws exceeds 10%. **Calculation**: The P-value is calculated to be **0.1736**. **Instructions**: Make sure to round your answer to four decimal places (e.g., 12.3456). By comparing the calculated P-value (0.1736) with the significance level (\(\alpha = 0.03\)), we can determine whether the null hypothesis should be rejected in favor of the alternative hypothesis. **Note**: This analysis helps in assessing the validity of the researcher's claim about the proportion of defective football helmets.
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