The competing hypotheses for a hypothesis test are as follows: H0: > 500 Ha: <

Question:

The competing hypotheses for a hypothesis test are as follows: H0: μ > 500 Ha: μ < 500 Assume the population standard deviation is known to be 36. A random sample of size 81 has a sample mean of 488.
a. Calculate the p value for the sample result.
b. For a significance level of .10, should you reject the null hypothesis? For a significance level or .05? Explain your answers.