Using basic demographic information (age, household income, marital status, etc.), you collecta random sample size 187 customers who accepted a special balance transfer offer from a major credit card company six months ago. The company wants to determine if there is evidence that it would profit by offering the deal to the population of customers withthose same demographic characteristics. The sample mean balance transfer amount is 1,953 with a sample standard deviation of 461.

Based on the information above, if the company were to perform a hypothesis test at= 0.05, what is thelargest valueit could specify in the null hypothesis and still fail to reject the null hypothesis?

Hint: Think about the relationship between hypothesis tests and intervals. Specifically, think about how a test done atwould relate to a 95% confidence interval?