True or False: The manager of the quality department for a tire manufacturing co

Question

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.

Explanation / Answer

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)

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