a local tennis proshop strings tennis rackets at the tension

a local tennis pro-shop strings tennis rackets at the tension requested by the customer. Recently a customer made a claim that the pro-shop consistently strings rackets at lower tensions, on average, than requested. To support this claim, the customer asked the pro shop to string 9 new rackets at 59 psi. Suppose the two-tailed P-value for the test described above is .08. Give the proper conclusion for the test. Use a = .05. A) Accept Ho and conclude that u, the true mean tension of the rackets, equals 59 psi. B) Reject Ho and conclude that u, the true mean tension of the rackets, equals 59 psi. C). There is sufficient evidence to conclude that u, the true mean tension of the rackets, is less than 59 psi. D) THere is sufficicent evidence to conclude that u, the true mean tension of the rackets, is more than 59 psi.

Solution

we fail to reject null because p-value is not less than a=0.05. The best option is:

A) Accept Ho and conclude that u, the true mean tension of the rackets, equals 59 psi.

(which is wrong, because we never \"accept\" H0, we only fail to reject it, it is plausible that the mean is equal to 59)