What is the P-value for this sample ( report answer accurate to four decimal places.) p-value= ### Statistical Hypothesis Testing Overview#### Hypothesis Test SetupFor this test, we aim to evaluate the following hypotheses at a significance level of \(\alpha = 0.05\):- Null Hypothesis (\(H_0\)): \(\mu = 66.8\)- Alternative Hypothesis (\(H_a\)): \(\mu < 66.8\)#### Sample Information- Population is assumed to be normally distributed- Sample Size (\(n\)): 7- Sample Mean (\(M\)): 62.3- Sample Standard Deviation (\(SD\)): 6.2#### Test Statistic CalculationThe test statistic for this sample is calculated as:- Test Statistic: \(-1.920\) (accurate to three decimal places)#### p-value InterpretationThe next step is to determine the p-value, which should be recorded to four decimal places.Under the provided options:- **p-value is greater than \(\alpha\)**#### ConclusionBased on the calculated test statistic and the p-value comparison:- The result leads to a decision to **not reject the null hypothesis**.This implies that there is not enough statistical evidence, at the 0.05 significance level, to support the claim that the population mean \(\mu\) is less than 66.8.

Name: What is the P-value for this sample ( report answer accurate to four d
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= ### Statistical Hypothesis Testing Overview#### Hypothesis Test SetupFor this test, we aim to evaluate the following hypotheses at a significance level of