A variety of stores offer loyalty programs. Participating shoppers swipe a bar-coded tag at the register when checking out and receive discounts on certain purchases. Stores benefit by gleaning information about shopping habits and hope to encourage shoppers to spend more. A typical Saturday morning shopper who does not participate in this program spends $150 on her or his order. In a sample of 80 shoppers participating in the loyalty program, each shopper spent $165 on average during a recent Saturday, with standard deviation, s= $40. A test of whether shoppers participating in the loyalty program spend more on average than typical shoppers was then conducted. If the population mean spending amount for shoppers in the loyalty program is $165 (with σ= $40), then what is the probability that the test procedure used in this question will fail to reject H0 if α= 0.05?

The probability that the test procedure used in this question will fail to reject H0 is ___. (Round to three decimal places as needed.)