Question

Students’ self-concept Here is SAS output for a study of the self-concept of a random sample of seventh-grade students. The variable SC is the score on the Piers-Harris Self-Concept Scale. The analysis was done to see if male and female students differ in mean self-concept score .

Write a few sentences summarizing the comparison of females and males, as if you were preparing a report for publication

Short answer

There is not enough proof to reject the claim that the population mean is equal for men and women.

Step-by-step solution

Given Information

Explanation

The hypotheses:

$H_0:{\mu }_1={\mu }_2$

$H_1:{\mu }_1\ne {\mu }_2$

The test statistic:

$t=\frac{{\overline{x}}_1-{\overline{x}}_2}{\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_1}}}$

$=\frac{55.516-57.915}{\sqrt{\frac{12.6962}{31}}+\frac{12.{265}^2}{47}}$

$=-0.8276$

Explanation

Degrees of freedom:

$df=62.8$

The P-value is the chance of having the test statistic's value, or a number that is more extreme.

$P=0.4110$

If the P-value is equal or les than to the significance level, then the null hypothesis is rejected:

$P>0.05\Rightarrow \text{Fail to reject}{H}_0$

There is not enough proof to reject the claim that the population mean is equal for men and women.