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Interpret the output below

Interpret the output below

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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1. Interpret the output below 

 

**Study Overview:** The study aims to evaluate the impact of sex and age on attitudes toward science. The output being interpreted is Levene’s Test of Equality of Error Variances. **Table Information:** - **Dependent Variable:** SCIENCE **Levene’s Test Table:** - **F value:** 3.463 - **Degrees of freedom (df1):** 7 - **Degrees of freedom (df2):** 992 - **Significance (Sig.):** 0.001 **Interpretation:** Levene’s Test is used to assess the equality of variances for a variable calculated for two or more groups. In this context, the null hypothesis states that the error variance of the dependent variable (attitudes toward science) is equal across different groups based on sex and age. - The **F value** of 3.463 indicates the ratio of variance between the groups relative to the variance within the groups. - The **significance level (Sig.)** is 0.001, which is below the common alpha level of 0.05. This suggests that there is a statistically significant difference in error variances between the groups. **Conclusion:** Given that the significance value is less than 0.05, we reject the null hypothesis, indicating that there are significant differences in the variances of attitudes toward science among groups defined by sex and age. The interaction of these factors may affect how variances in attitudes are distributed.
Transcribed Image Text:**Study Overview:** The study aims to evaluate the impact of sex and age on attitudes toward science. The output being interpreted is Levene’s Test of Equality of Error Variances. **Table Information:** - **Dependent Variable:** SCIENCE **Levene’s Test Table:** - **F value:** 3.463 - **Degrees of freedom (df1):** 7 - **Degrees of freedom (df2):** 992 - **Significance (Sig.):** 0.001 **Interpretation:** Levene’s Test is used to assess the equality of variances for a variable calculated for two or more groups. In this context, the null hypothesis states that the error variance of the dependent variable (attitudes toward science) is equal across different groups based on sex and age. - The **F value** of 3.463 indicates the ratio of variance between the groups relative to the variance within the groups. - The **significance level (Sig.)** is 0.001, which is below the common alpha level of 0.05. This suggests that there is a statistically significant difference in error variances between the groups. **Conclusion:** Given that the significance value is less than 0.05, we reject the null hypothesis, indicating that there are significant differences in the variances of attitudes toward science among groups defined by sex and age. The interaction of these factors may affect how variances in attitudes are distributed.
Expert Solution
Step 1: Determine the given data in the question

The output of the Leven's test is given below.

Here the dependent variable is attitude toward Science.

The independent variables are age and sex.

Given that,

Fdf1df2Sig.
3.46379920.001

Assume the level of significance left parenthesis alpha right parenthesis equals 0.05

Interpret the given results.


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