Question: Consider the hypothesis test given by

H0: \(\mu \) = 50

Ha: \(\mu \) > 50

In a random sample of 100 subjects, the sample mean is found to be \(\bar{X}\) = 53.4. Also, the population standard deviation is \(\sigma \) =8.

Determine the P-value for this test. Is there sufficient evidence to justify the rejection of H0? Explain.