It takes an average of 8.8 minutes for blood to begin clotting after an injury. An EMT wants to see if the average will change if the patient is immediately told the truth about the injury. The EMT randomly selected 58 injured patients to immediately tell the truth about the injury and noticed that they averaged 8.4 minutes for their blood to begin clotting after their injury. Their standard deviation was 3.18 minutes. What can be concluded at the the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: 1?v|| Select an answer v H: ?v Select an answer v c. The test statistic ? v (please show your answer to 3 decimal places.) %3D

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**Clotting Time Study**

An EMT is investigating whether immediate truth-telling about an injury affects the average time for blood to begin clotting. The known average is 8.8 minutes. A sample of 58 injured patients was selected, with a recorded average of 8.4 minutes and a standard deviation of 3.18 minutes.

**Hypothesis Testing Process:**

a. **Type of Test:** Select the type of statistical test appropriate for the study.

b. **Hypotheses:**
   - Null Hypothesis (\(H_0\)): This is the statement being tested, often reflecting no effect or no difference.
   - Alternative Hypothesis (\(H_1\)): This statement reflects what the researcher aims to support, such as a significant effect or difference.

c. **Test Statistic Calculation:** Calculate the test statistic, rounded to three decimal places.

d. **P-value Calculation:** Determine the p-value for the test, rounded to four decimal places.

e. **Significance Level Comparison:** Compare the p-value to the significance level (\(\alpha = 0.05\)) to evaluate the hypotheses.

f. **Hypothesis Decision:** Decide whether to reject or fail to reject the null hypothesis based on the p-value comparison.

g. **Conclusion Options:** Interpret the results. Possible conclusions include:
   - The population mean is significantly different from 8.8, providing statistical evidence that the immediate truth affects clotting time.
   - There is no significant difference from 8.8, indicating no statistically significant effect of the immediate truth on clotting time.
Transcribed Image Text:**Clotting Time Study** An EMT is investigating whether immediate truth-telling about an injury affects the average time for blood to begin clotting. The known average is 8.8 minutes. A sample of 58 injured patients was selected, with a recorded average of 8.4 minutes and a standard deviation of 3.18 minutes. **Hypothesis Testing Process:** a. **Type of Test:** Select the type of statistical test appropriate for the study. b. **Hypotheses:** - Null Hypothesis (\(H_0\)): This is the statement being tested, often reflecting no effect or no difference. - Alternative Hypothesis (\(H_1\)): This statement reflects what the researcher aims to support, such as a significant effect or difference. c. **Test Statistic Calculation:** Calculate the test statistic, rounded to three decimal places. d. **P-value Calculation:** Determine the p-value for the test, rounded to four decimal places. e. **Significance Level Comparison:** Compare the p-value to the significance level (\(\alpha = 0.05\)) to evaluate the hypotheses. f. **Hypothesis Decision:** Decide whether to reject or fail to reject the null hypothesis based on the p-value comparison. g. **Conclusion Options:** Interpret the results. Possible conclusions include: - The population mean is significantly different from 8.8, providing statistical evidence that the immediate truth affects clotting time. - There is no significant difference from 8.8, indicating no statistically significant effect of the immediate truth on clotting time.
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