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

## Question:

Assume that the significance level is [{MathJax fullWidth=?false? \alpha =0.01 }]. Use the given statement and find the P-value and critical value(s). The test statistic of [{MathJax fullWidth=?false? Z= -1.04 }] is obtained when testing the claim that [{MathJax fullWidth=?false? p=1/3. }](round to four decimal places)

## 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.

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