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Chapter 8: Q. 9.52 (page 370)

The P-value for a hypothesis test is 0.083. 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 the given value of P=0.083, null hypothesis is as follows :-

(a) α=0.05:- Not rejected

(b) α=0.10:- Rejected

(c)α=0.06:- Not 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 becauseP=0.083>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=0.083<α=0.10

05

Part (c) Step 1. Given information

Value ofα=0.06

06

Part (c) Step 2. Explanation

Here null hypothesis should not be rejected becauseP=0.083>α=0.06

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