H0: u=6
H1: u does not equal 6

test statistic is z=2.06
What is the p value?

To find the p-value for the given test statistic \( z = 2.06 \) under a two-tailed test, we use the standard normal distribution (Z-distribution).

First, find the cumulative probability corresponding to \( z = 2.06 \) from the Z-table or using a statistical tool. 

Using a Z-table or a calculator:
- The cumulative probability for \( z = 2.06 \) is approximately 0.9803.

Since it's a two-tailed test, we need to find the area in both tails:
- The p-value for one tail is \( 1 - 0.9803 = 0.0197 \).
- For a two-tailed test, we double this value: \( 2 \times 0.0197 = 0.0394 \).

Therefore, the p-value is approximately 0.0394.

Would you like more details or have any questions?

Here are 5 questions you might ask next:
1. How do you interpret the p-value in hypothesis testing?
2. What is the significance level (alpha) in hypothesis testing?
3. How do you calculate the test statistic for a hypothesis test?
4. What is the difference between one-tailed and two-tailed tests?
5. How do you find critical values for a Z-test?

Tip: When interpreting p-values, remember that a smaller p-value indicates stronger evidence against the null hypothesis.

Learn how to calculate the p-value for a hypothesis test using the standard normal distribution with a test statistic of z = 2.06. Understand the significance of p-values in hypothesis testing and their interpretation. Suitable for advanced students and researchers.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation