Female 0 Male 1 3. We are now interested in determining whether any observed dif

Question

Female 0 Male 1

3. We are now interested in determining whether any observed difference between males and females on the image variable is statistically significant.
3a. What statistical test should be used to determine whether there is a significant relationship or difference between gender and weight image?
3b. Does this test indicate that there is a relationship or difference between males and females on the image variable; that is, can we reject the null hypothesis of no difference or relationship between gender and perceived image of weight (assume two-tailed test, alpha = .05)?

Gender gpa image 0 1.50 3 0 3.25 3 0 3.00 3 0 3.00 3 0 4.00 3 0 2.50 3 0 3.25 4 0 2.75 4 0 3.75 3 0 3.00 3 0 4.00 3 0 3.50 3 0 4.00 3 0 2.75 2 0 1.75 5 0 2.25 3 0 3.33 3 0 3.75 3 0 4.00 2 0 3.25 3 1 2.75 3 1 2.75 3 1 2.75 3 1 2.25 4 1 3.00 2 1 3.25 3 1 2.25 4 1 1.75 2 1 2.25 3 1 3.25 3 1 1.00 4 1 3.00 2 1 2.50 3 1 2.00 4 1 2.25 3 1 2.75 3 1 3.00 2 1 3.50 3 1 3.75 2 1 2.50 3

Explanation / Answer

Here we can consider two samples one of males and the other of females and can check for results.

To determine whether there is relationship between gender and image we can use regression.

From this regression output it is evident that the p value of gender is more than 0.05 and so it is not significant. So based on the given data it is evident that there is no relation between gender and image variable.

ANOVA tells that the there is no sufficient evidence to reject the null hypothesis that the mean of image for males and females are same.

SUMMARY OUTPUT Regression Statistics Multiple R 0.115129 R Square 0.013255 Adjusted R Square -0.01271 Standard Error 0.66392 Observations 40 ANOVA df SS MS F Significance F Regression 1 0.225 0.225 0.510448 0.479311 Residual 38 16.75 0.440789 Total 39 16.975 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 3.1 0.148457 20.88147 2E-22 2.799465 3.400535 2.799465 3.400535 Gender -0.15 0.20995 -0.71446 0.479311 -0.57502 0.275021 -0.57502 0.275021

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