The Manager of the Quality Department for a Tire Manufacturing $\alpha$

True/False

The manager of the quality department for a tire manufacturing company wants to know the average tensile strength of rubber used in making a certain brand of radial tire.The population is normally distributed and the population standard deviation is known.She uses a Z test to test the null hypothesis that the mean tensile strength is 800 pounds per square inch.The calculated Z test statistic is a positive value that leads to a p-value of .045 for the test.If the significance level ( $\alpha$ )is .05,the null hypothesis would be rejected.