What is the null hypothesis for the t-test statistic?

A t-test is a statistical test that compares the means of two samples. It is used in hypothesis testing, with a null hypothesis that the difference in group means is zero and an alternate hypothesis that the difference in group means is different from zero.

How do you reject a null hypothesis in a two-tailed test?

  1. You reject the null hypothesis if the z-score is large, which means that the p-value is small.
  2. If you reject a hypothesis at the 5% significance level, p < . 05, hence you will reject that hypothesis at the 10% significance level.
  3. If you fail to reject a hypothesis at the 5% significance level, p > .

What conclusion can you derive if you reject the null hypothesis?

Because we fail to reject the null hypothesis, we conclude that there is not sufficient evidence to support a conclusion that the population mean is greater than 166.3 lb, as in the National Transportation and Safety Board’s recommendation.

When can we reject the null hypothesis?

We assume that the null hypothesis is correct until we have enough evidence to suggest otherwise. After you perform a hypothesis test, there are only two possible outcomes. When your p-value is less than or equal to your significance level, you reject the null hypothesis. The data favors the alternative hypothesis.

What is an example of a single sample t test?

A single sample t-test (or one sample t-test) is used to compare the mean of a single sample of scores to a known or hypothetical population mean. So, for example, it could be used to determine whether the mean diastolic blood pressure of a particular group differs from 85, a value determined by a previous study.

What does ‘fail to reject’ means in a hypothesis test?

All it means is that the null hypothesis has not been disproven-hence the term “failure to reject.” A “failure to reject” a hypothesis should not be confused with acceptance. In mathematics, negations are typically formed by simply placing the word “not” in the correct place.

When do you accept or reject null?

If the sample does not support the null hypothesis, we reject it on the probability basis and accept the alternative hypothesis. If the sample does not oppose the hypothesis, the hypothesis is accepted.

Do I reject or accept the null?

You should never accept the null hypothesis. You should reject it, or fail to reject it. The null hypothesis is is called “null” because it is the “nothing” hypothesis, the result if no new information is gained in the experiment. The null hypothesis is formulated to reflect the current state of knowledge (or currently accepted version of truth).