t vakye us +3.28 and the critical value of t is +2.048 what does this mean? and would the null be rejected
The given information consists of a value of t (t-value) and a critical value of t.
A t-value is a statistic that measures how far the sample mean deviates from the hypothesized population mean, in terms of standard error. In this case, the t-value is +3.28.
A critical value of t, on the other hand, is a value that is used as a cutoff point to determine whether the t-value is large enough to reject the null hypothesis. It corresponds to a specific significance level (also known as alpha) and degrees of freedom.
To determine whether the null hypothesis should be rejected or not, we compare the t-value to the critical value of t. If the t-value is greater than the critical value, we reject the null hypothesis. Conversely, if the t-value is less than the critical value, we fail to reject the null hypothesis.
In this case, the given t-value (+3.28) is greater than the critical value (+2.048). Therefore, we would reject the null hypothesis, assuming that the alternative hypothesis indicates a difference or effect.
It's worth mentioning that without knowing the actual null and alternative hypotheses for the specific study, we cannot provide a definitive answer about whether the null hypothesis should be rejected or not. However, based on the comparison of the t-value and critical value, we can determine the decision that would be made regarding the null hypothesis.