5. (3 points) A scientist is trying to estimate a population mean . She obtains a sample of size of size 100 drawn from the population, and using the sample mean and sample standard deviation, she computes several confidence intervals and also performs a hypothesis test. The scientist computes the 80% confidence interval to be (4.42,5.92). Using the same data, she also computes the 90% confidence interval to be (4.206,6.133), and the 95% confidence interval to be (4.022,6.318). She also decides to test Ho : ( - 4.1 versus H, : p / 4.1. Regarding the P-value, which one of the following statements is true? (a) P > 0.2 (b) 0.1