Answer :
The statistical test being conducted is a one-sample t-test, which assesses the population mean when the standard deviation is unknown and the sample is small or non-normally distributed. The null hypothesis is that the mean salary is $60,000, and it is rejected if the p-value is less than the alpha level of 0.05. Thus, correct answer is option a) One-sample t-test
The statistical test being conducted in the scenario provided is a one-sample t-test. This test is used when we want to answer a question about the population mean (\u03bc) where the population standard deviation is not known, and the sample size is relatively small or the data are not necessarily normally distributed. The hypothesis stated is H(0): \\(u = 60000, which is the claim that the population mean is $60,000. The alternative hypothesis H(A): \\(u \\(neq 60000 is that the population mean is not $60,000. The decision to reject the null hypothesis is made based on the p-value; if the p-value is less than the alpha level of 0.05, it indicates that there is statistical evidence to suggest the population mean is significantly different from $60,000, as shown in the provided information detailing a different scenario where the mean salary of California registered nurses exceeds $69,110 at the 5 percent significance level.
