Question: For the next three questions, test the given claim using the P-value method for hypothesis testing about a mean. Assume that a simple random sample has been taken, the population standard deviation is not known, and the population is normally distributed.

The Common Murre population of birds became endangered in California due to an oil spill. Biologists want to know if their efforts to restore the colony have been successful. Since the breeding colony of birds is site dependent, the mean number of breeding pairs of Common Murres were observed at a specific rock known to be a breeding site. Test the claim that the mean number of breeding pairs of the Common Murre is greater than 400. Use a .05 significance level and the following raw data collected from seven days of observations:

404 398 402 406 399 405 403

Identify the null hypothesis and alternative hypothesis.