1. Reject the null hypothesis 2. that we have proven the null hypothesis 3. unable to answer- not enough information 4. retain the null h **Hypothesis Testing: Critical Values and Decision Making**Suppose that you conducted a one-tailed hypothesis test and obtained a test statistic z value of 2.345. Based on the level of significance you conducted the test with (α = 0.1), what would your decision be for this test?### Decision Making Options:1. **Reject the null hypothesis.**2. **That we have proven the null hypothesis.**### Critical Values Table:#### Level of Significance- **Two-tailed Test** - 0.10: 1.28 - 0.05: 1.645 - 0.01: 2.326 - 0.005: 2.576 - 0.001: 3.291- **One-tailed Test** - 0.10: 1.645 - 0.05: 1.960 - 0.01: 2.326 - 0.005: 2.576 - 0.0005: 3.291In this scenario, for a one-tailed test at a significance level of α = 0.1, if the z value of 2.345 is greater than the critical value of 1.645, you would reject the null hypothesis.This table aids in understanding how the critical values vary based on significance levels and the type of test (one-tailed vs two-tailed). Simply compare your calculated z value with the table to make an informed decision on your hypothesis test.

Answered: 1. Reject the null hypothesis. 2. That…

Math

Statistics

1. Reject the null hypothesis. 2. That we have proven the null hypothesis. 3 Unable to answer not enough information.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

1. Reject the null hypothesis

2. that we have proven the null hypothesis

3. unable to answer- not enough information

4. retain the null h

**Hypothesis Testing: Critical Values and Decision Making**

Suppose that you conducted a one-tailed hypothesis test and obtained a test statistic z value of 2.345. Based on the level of significance you conducted the test with (α = 0.1), what would your decision be for this test?

### Decision Making Options:
1. **Reject the null hypothesis.**
2. **That we have proven the null hypothesis.**

### Critical Values Table:

#### Level of Significance

- **Two-tailed Test**
- 0.10: 1.28
- 0.05: 1.645
- 0.01: 2.326
- 0.005: 2.576
- 0.001: 3.291

- **One-tailed Test**
- 0.10: 1.645
- 0.05: 1.960
- 0.01: 2.326
- 0.005: 2.576
- 0.0005: 3.291

In this scenario, for a one-tailed test at a significance level of α = 0.1, if the z value of 2.345 is greater than the critical value of 1.645, you would reject the null hypothesis.

This table aids in understanding how the critical values vary based on significance levels and the type of test (one-tailed vs two-tailed). Simply compare your calculated z value with the table to make an informed decision on your hypothesis test.

Expert Solution

Step 1

It is given that

The statistic value is

z = 2.345

Significance level, α = 0.01

The hypothesis test is one-tailed test.

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