Question: Alexis encountered this problem on a homework assignment.

Data was collected to test \(H_{0}: \mu=484\) versus \(H_{a}: \mu<484\). Summary information for the data is: \(n=75, \bar{x}=480, s=22\). The test was done with \(\alpha=0.10 .\) Minitab output is shown below.

1. One part of the question asked which procedure was used for the test. Alexis answered One-Sample \(Z\) was used because the standard deviation is given. He was given 0 for this. Why is the answer wrong?
2. Alexis was also marked down for saying The p-value is larger than \(\alpha\) so the null hypothesis has to be accepted. What should he have said?

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