True or False The manager of the quality department for a ti

True or 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. She knows the population standard deviation and 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 .047 for the test. If the significance level is .05, the null hypothesis would be rejected. Assume that the population of pressure values is normally distributed.

Solution

if we assume that is normally distributed and we use the method of p value

that said

if p value is greater than alpha/2 ( significance level) then we fail to reject Ho

but if p value is lower than alpha/2 then we reject ho

for this case

p value is 0.047 and alpha/2 = 0.025

p value is greater than 0.025 so we fail to reject Ho

so this statements is false

WE SHOULD FAIL TO REJECT HO ( ACCEPT HO)