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What if t-value is equal to critical value?
The statistic is compared to the calculated critical value. If the statistic is less than or equal to the critical value, we fail to reject the null hypothesis (e.g. no effect). Otherwise it is rejected. Test Statistic <= Critical Value: Fail to reject the null hypothesis of the statistical test.
How does T Stat compare to T critical?
If the t-statistic value is greater than the t-critical, meaning that it is beyond it on the x-axis (a blue x), then the null hypothesis is rejected and the alternate hypothesis is accepted. However, if the t-statistic had been less than the t-critical value (a red x), the null hypothesis would have been retained.
How do you find the critical t-value for a two tailed test?
Example question: Find a critical value for a 90% confidence level (Two-Tailed Test). Step 1: Subtract the confidence level from 100% to find the α level: 100% – 90% = 10%. Step 2: Convert Step 1 to a decimal: 10% = 0.10. Step 3: Divide Step 2 by 2 (this is called “α/2”).
What does it mean if the t-statistic is significant?
So if your sample size is big enough you can say that a t value is significant if the absolute t value is higher or equal to 1.96, meaning |t|≥1.96.
How do you find the critical value in t test?
To find a critical value, look up your confidence level in the bottom row of the table; this tells you which column of the t-table you need. Intersect this column with the row for your df (degrees of freedom). The number you see is the critical value (or the t-value) for your confidence interval.
What happens if T-stat is equal to T-critical?
I have a two-sample t-test where the t-statistic is equal to the critical t-value (at three decimal points) at a p-value of 0.05. does this mean i reject the null hypothesis or the opposite? thank you so much! The traditional tests says that the probability has to be less than 0.05, so this is not statistically significant.
What is the p value of one tailed alternative hypothesis?
The other one-tailed alternative hypothesis has a p-value of P(>-3.7341) = 1-(P<-3.7341) = 1-0.0001 = 0.9999. So, depending on the direction of the one-tailed hypothesis, its p-value is either 0.5*(two-tailed p-value) or 1-0.5*(two-tailed p-value) if the test statistic symmetrically distributed about zero.
When to reject a null hypothesis in a two tailed test?
When a test statistic falls in either critical region, your sample data are sufficiently incompatible with the null hypothesis that you can reject it for the population. In a two-tailed test, the generic null and alternative hypotheses are the following: Null: The effect equals zero. Alternative : The effect does not equal zero.
What does p ( t < = t ) one-tail mean?
If t >=0, “P (T <= t) one-tail” gives the probability that a value of the t-Statistic would be observed that is more positive than t. “t Critical one-tail” gives the cutoff value, so that the probability of observing a value of the t-Statistic greater than or equal to “t Critical one-tail” is Alpha.