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Chapter 8: Q. 9.51 (page 370)

The P-value for a hypothesis test is 0.06. For each of the following significance levels, decide whether the null hypothesis should be rejected.

a. α=0.05

b. α=0.10

c.α=0.06

Short Answer

Expert verified

For given value of P=0.06, null hypothesis should be as follows :-

(a) α=0.05:- Not rejected

(b) α=0.10:- Rejected

(c) α=0.06:- Rejected

Step by step solution

01

Part (a) Step 1. Given information

Value ofα=0.05

02

Part (a) Step 2. Explanation

Here null hypothesis should not be rejected because P=0.06>α=0.05

03

Part (b) Step 1. Given information

Value ofα=0.10

04

Part (b) Step 2. Explanation

Here null hypothesis should be rejected becauseP=0.06<α=0.10

05

Part (c) Step 1. Given information

Value ofα=0.06

06

Part (c) Step 2. Explanation

Here null hypothesis should be rejected becauseP=0.06=α.

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