Q.17 - The Practice of Statistics for AP

Question

Explain in plain language why a significance test that is significant at the 1% level must always be significant at the 5% level. If a test is significant at the 5% level, what can you say about its significance at the 1% level?

Step-by-Step Solution

Answer

It is not known the significance at $1\%$level.

Step 1: introduction

the significance level is an outcome that has measurable importance when having happened given the invalid hypothesis is far-fetched

Step 2: explanation

Given,

significance levels are $1\%$and $5\%$ which is $0.01$ and $0.05$

When the significant level is $0.05$,

The null hypothesis is true as the probability of getting the sample value is less than $0.05$

The probability is either greater or less than $0.01$

Hence It is not known the significance at $1\%$level.