In: Statistics and Probability
A life insurance salesperson claims the average worker in the city of Rome has no more than $25,000 of personal life insurance. To test this claim, you randomly sample 100 workers in Rome. You find that this sample of workers has a mean $26,650 of personal life insurance. The population standard deviation is $12,000. Determine whether the test shows enough evidence to reject the null hypothesis posed by the salesperson. Assume α = 0.05.
a) State null and alternative hypothesis
b) Determine the level of significance and identify if the test requires one-sided or two-sided test
c) Establish the decision rule using critical value, test statistic and p value method
d) Write a concluding statement