Question

Assume that you have obtained a sample mean of 56 Pa, a test statistic of -2.02 and a p-value of 0.095. Which of the statements below are correct interpretations of the p-value?

a. There is a 9.5% chance of making a mistake by rejecting the null hypothesis of the mean elasticity being as per design specification.
b. Assuming the mean elasticity is as per design specification, the probability of observing a sample mean as small or smaller than 56 Pa is 0.095.
c. Assuming the mean elasticity is as per design specification, the probability of observing a sample mean as large or larger than 56 Pa is 0.095.
d. Assuming the mean elasticity is as per design specification, the probability of obtaining a test statistic as small or smaller than -2.02 is 0.095.
e. Assuming the mean elasticity is as per design specification, the probability of obtaining a test statistic as large or larger than -2.02 is 0.095.
f. There is a 0.095 probability that the results are due to chance.
g. None of the above.

Answer 1

options : B and D

Explanation:

Given that the sample mean = 56 pa , test statistic = -2.02 and the p-value = 0.095 . the correct statements about the interpretations of the p- value are :

• Assuming the mean elasticity is as per design specification, the probability of observing a sample mean as small or smaller than 56 Pa is 0.095.
• Assuming the mean elasticity is as per design specification, the probability of obtaining a test statistic as small or smaller than -2.02 is 0.095.