# Assume that the significance level is \alpha =0.01. Use the given statement and find the P-value...

## Question:

## P-value

P-value is that value which is just necessary to reject the null hypothesis. The p-value is used as an alternative to rejection points to provide the smallest level of significance at which the null hypothesis would be rejected.

## Answer and Explanation: 1

To test {eq}H_{1}:p=1/3 {/eq}

Given {eq}\alpha=0.01,Z=-1.04 {/eq}

At {eq}\alpha {/eq} level of significance, we reject H0 when p-value{eq}\leq \alpha {/eq}

For one tailed test p-value is 0.1492, so p-value is greater than 0.01, therefore we do not reject the null hypothesis.

For two tailed test p-value is 0.2983, p-value is greater than 0.01, therefore, we do not reject the null hypothesis

#### Learn more about this topic:

from

Chapter 6 / Lesson 9Definition of p-value and its comparison with alpha level. Learn how to find p-value using the p-value formula and a few commands to find p-value in excel.