Chapter 17, Problem 17.19CYS

To determine

To find: The conclusion assuming that $H_0$

Answer to Problem 17.19CYS

Correct answer:

Option (a): “True, of the test statistic taking a value as extreme as or more extreme than that actually observed is 0.011”.

Explanation of Solution

Reason for the correct answer:

In the given problem, the P-value is 0.011. From the definition of P-value, the conclusion for P-value is the probability of the test statistic taking a value as extreme as or more extreme than that actually observed by assuming that $H_0$ is true which is equal to 0.011.

Reason for the incorrect answers:

In the option (b), P-value gives the probability that representing less extreme than actually observed values. In option (c), P-value is computed by assuming $H_0$ is false. Hence, the options (b) and (c) are incorrect.

Conclusion:

Therefore, the correct option is (a): True, of the test statistic taking a value as extreme as or more extreme than that actually observed is 0.011.

Statistics Concept Introduction

Introduction:

P-value:

P-value is the probability of finding observed or extreme results if the hypothesis is true.