. You have proposed that males will outscore females on a standardized test of math skills.
You now are looking at your results from an SPSS t-test which is analyzing for significance at the á = .05 level with a two-tailed test. You see the following output: t = 4.10 sig. = .06
What is your conclusion concerning your hypothesis and why have you made that decision?
Based on the given SPSS t-test output, the calculated t-value is 4.10 and the corresponding p-value (or significance level) is 0.06. To make a conclusion, we compare the p-value to the preset alpha level of 0.05.
In this case, the p-value is greater than the alpha level (0.06 > 0.05), which means that the difference between the mean scores of males and females is not statistically significant at the 0.05 level.
Since the test is two-tailed, we check for significance in both tails. A two-tailed test assumes that the effect can be in either direction (males scoring higher or females scoring higher). However, since the p-value is greater than the alpha level, we fail to reject the null hypothesis.
Therefore, based on the SPSS t-test results, there is not enough evidence to support the hypothesis that males will outscore females on the standardized test of math skills at the 0.05 significance level.