Q.28 - The Practice of Statistics for AP

Question

You use technology to carry out a significance test and get a P-value of 0.031. The correct conclusion is

a. accept $H_a$ at data-custom-editor="chemistry" $\mathrm{\alpha }$=0.05 significance level.

b. reject $H_0$ at $\alpha$=0.05 significance level.

c. reject $H_0$ at the $\alpha$= 0.01 significance level.

d. fail to reject $H_0$ at the $\alpha$= 0.05 significance level.

e. fail to reject $H_a$ at the $\alpha$= 0.05 significance level.

Step-by-Step Solution

Answer

The correct conclusion is option b. reject $H_0$ at $\alpha$=0.05 significance level. 

Step 1: Introduction

A hypothesis is a proposed clarification for a peculiarity. For a theory to be logical speculation, the logical technique expects that one can test it.

Step 2: Explanation

Given,

P-value = $0.031$

Considering $\alpha =0.05$, The p-value is less than $\alpha$.

Hence $H_0$ is rejected

Considering  $\alpha =0.01$, The p-value is greater than $\alpha$.

Hence it is correct.

Therefore option b. reject $H_0$ at $\alpha$=0.05 significance level is correct