Final answer:
When performing a hypothesis test for a single population mean using a normal distribution, you would use a z-test. The null hypothesis is that the population mean is equal to a specific value, while the alternative hypothesis is that the population mean is not equal to that value.
Step-by-step explanation:
The subject of this question is statistics.
When performing a hypothesis test for a single population mean using a normal distribution, you take a simple random sample from the population. The population you are testing is normally distributed or your sample size is sufficiently large. In this case, you collected a sample with a size of 100, and you calculated the sample mean as 4800. You know that the population standard deviation is 1000. Based on this information, you would use a z-test to perform the hypothesis test.
The null hypothesis, denoted as H0, is the statement that you want to test and assume is true. In this case, the null hypothesis is that the population mean is equal to a specific value, which is not mentioned in the question. The alternative hypothesis, denoted as HA, is the statement that contradicts the null hypothesis and represents what you want to conclude if there is enough evidence. The alternative hypothesis in this case is that the population mean is not equal to the specific value mentioned in the null hypothesis.