A local tennis pro-shop strings tennis rackets at the tension (pounds per square inch) 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 6 new rackets at 50 psi. Suppose the two-tailed p-value for the test described above (obtained from a computer printout) is p = .07. Give the proper conclusion for the test. Use a = .05.
A) Reject H0 and conclude that mean, the true mean tension of the rackets, equals 50 psi.
B) There is insufficient evidence to conclude that mean, the true mean tension of the rackets, isless than 50 psi.
C) There is sufficient evidence to conclude that mean, the true mean tension of the rackets, is less than 50 psi.
D) Accept H0 and conclude that ��, the true mean tension of the rackets, equals 50 psi.
20)
To determine the proper conclusion for the test, we need to compare the p-value obtained to the significance level (α) of 0.05.
In this case, the p-value is 0.07, which is larger than the significance level of 0.05.
Since the p-value is greater than the significance level, we fail to reject the null hypothesis (H0) and do not have sufficient evidence to conclude that the mean tension of the rackets is less than 50 psi.
Therefore, the proper conclusion for the test is B) There is insufficient evidence to conclude that the mean tension of the rackets is less than 50 psi.
The proper conclusion for the test is B) There is insufficient evidence to conclude that the mean tension of the rackets is less than 50 psi.
If you are using a = .05, you want a value smaller than that to reject Ho.
I hope this helps.