The competing hypotheses for a hypothesis test are as follows: H0: < 1000 Ha: >

Question:

The competing hypotheses for a hypothesis test are as follows: H0: μ < 1000 Ha: μ > 1000 Assume the population standard deviation is known to be 80. A random sample of size 64 has a sample mean of 1020.
a. Calculate the p value for the sample result.
b. For a significance level of .05, should you reject the null hypothesis? For a significance level of .01? Explain your answers.