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The test statistic of z=1.46 is obtained when testing the claim that p> 0.5. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of a = 0.01, should we reject H, or should we fail to reject Ho? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. a. This is a right-tailed test. b. P-value= (Round to three decimal places as needed.)

The test statistic of z=1.46 is obtained when testing the claim that p> 0.5. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of a = 0.01, should we reject H, or should we fail to reject Ho? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. a. This is a right-tailed test. b. P-value= (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications
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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C.

Reject H0

Fail to reject H0

**Hypothesis Testing Guide** In this example, we are testing the claim that \( p > 0.5 \) with a test statistic of \( z = 1.46 \). **a. Identifying the Hypothesis Test Type** - The test type is determined by the nature of the claim: - **Two-tailed**: Tests if a parameter is significantly different from the hypothesized value (could be higher or lower). - **Left-tailed**: Tests if a parameter is significantly less than the hypothesized value. - **Right-tailed**: Tests if a parameter is significantly greater than the hypothesized value. - For the claim \( p > 0.5 \), this is a **right-tailed test**. **b. Finding the P-value** - The P-value helps determine the significance of the results. It is based on the z-score obtained from testing. The detailed steps to find the P-value are typically: 1. Refer to a standard normal distribution table. 2. Locate the corresponding P-value for the given z-score. 3. Input the P-value, rounded to three decimal places. **c. Deciding to Reject or Fail to Reject \( H_0 \)** - Using a significance level of \( \alpha = 0.01 \): - Compare the P-value with the significance level. - If \( \text{P-value} \leq \alpha \), reject \( H_0 \). - If \( \text{P-value} > \alpha \), fail to reject \( H_0 \). **Resource Links:** - [Page 1 of the Standard Normal Distribution Table](#) - [Page 2 of the Standard Normal Distribution Table](#) *(Note: Specific numeric calculations for the P-value require access to the standard normal distribution table.)*
Transcribed Image Text:**Hypothesis Testing Guide** In this example, we are testing the claim that \( p > 0.5 \) with a test statistic of \( z = 1.46 \). **a. Identifying the Hypothesis Test Type** - The test type is determined by the nature of the claim: - **Two-tailed**: Tests if a parameter is significantly different from the hypothesized value (could be higher or lower). - **Left-tailed**: Tests if a parameter is significantly less than the hypothesized value. - **Right-tailed**: Tests if a parameter is significantly greater than the hypothesized value. - For the claim \( p > 0.5 \), this is a **right-tailed test**. **b. Finding the P-value** - The P-value helps determine the significance of the results. It is based on the z-score obtained from testing. The detailed steps to find the P-value are typically: 1. Refer to a standard normal distribution table. 2. Locate the corresponding P-value for the given z-score. 3. Input the P-value, rounded to three decimal places. **c. Deciding to Reject or Fail to Reject \( H_0 \)** - Using a significance level of \( \alpha = 0.01 \): - Compare the P-value with the significance level. - If \( \text{P-value} \leq \alpha \), reject \( H_0 \). - If \( \text{P-value} > \alpha \), fail to reject \( H_0 \). **Resource Links:** - [Page 1 of the Standard Normal Distribution Table](#) - [Page 2 of the Standard Normal Distribution Table](#) *(Note: Specific numeric calculations for the P-value require access to the standard normal distribution table.)*
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