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.

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:

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How to Find P-Value

from

Chapter 6 / Lesson 9

Definition 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.


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