What is the p-value for this sample? ( Report answer accurate to four decimal places.) p-value= **Hypothesis Testing Overview**In this example, we are testing a hypothesis about a population mean (\( \mu \)) at a significance level (\( \alpha \)) of 0.001.**Null and Alternative Hypotheses:**- Null Hypothesis (\( H_0 \)): \( \mu = 67.5 \)- Alternative Hypothesis (\( H_a \)): \( \mu \neq 67.5 \)**Population and Sample Details:**- The population is assumed to be normally distributed.- Known standard deviation (\( \sigma \)): 18.9- Sample mean (\( M \)): 72.2- Sample size (\( n \)): 46**Statistical Analysis:**1. **Test Statistic Calculation:** - The test statistic calculated for this sample is 1.687. This value is reported to three decimal places.2. **P-Value for the Sample:** - The p-value is to be calculated and reported to four decimal places.3. **Conclusion about P-Value:** - Based on the provided options, the p-value is greater than \( \alpha \).This educational example illustrates how to conduct a hypothesis test with a known standard deviation, calculate the test statistic, and interpret the p-value in the context of the significance level.

Name: What is the p-value for this sample? ( Report answer accurate to four
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: What is the p-value for this sample? ( Report answer accurate to four decimal places.) p-value= **Hypothesis Testing Overview**In this example, we are testing a hypothesis about a population mean (\( \mu \)) at a significance level (\( \alpha \)) of

Solution: State the hypotheses. H0: µ=67.5 Alternative hypothesis: Ha: µ≠67.5 Here, the test is two-tailed.The test statistic value is z=1.687. Then, the P-value is Thus, p-value = 0.0916.