# How to write a null hypothesis conclusion

For example, suppose the cloud seeding is expected to decrease rainfall. The Purpose of Null Hypothesis Testing As we have seen, psychological research typically involves measuring one or more variables for a sample and computing descriptive statistics for that sample.

Thus researchers must use sample statistics to draw conclusions about the corresponding values in the population. We reject it because at a significance level of 0.

Let us consider this statement with respect to our example where we are interested in the difference in mean exam performance between two different teaching methods.

## Null and alternative hypothesis statistics

So researchers need a way to decide between them. Since our sample usually only contains a subset of the data in the population, we cannot be absolutely certain as to whether the null hypothesis is true or not. However, you want to know whether this is "statistically significant". When performing such tests, there is some chance that we will reach the wrong conclusion. This represents the true nature of things. This is done by choosing an estimator function for the characteristic of the population we want to study and then applying this function to the sample to obtain an estimate. Even professional researchers misinterpret it, and it is not unusual for such misinterpretations to appear in statistics textbooks! Depending on the statistical test you have chosen, you will calculate a probability i. For example, you could compare the mean exam performance of each group i.

The null hypothesis always represents no change. A crucial step in null hypothesis testing is finding the likelihood of the sample result if the null hypothesis were true. Initially, you can state these hypotheses in more general terms e. Thus power is the probability that you find an effect when one exists, i.

Specifically, the stronger the sample relationship and the larger the sample, the less likely the result would be if the null hypothesis were true. Following this logic, we can begin to understand why Mehl and his colleagues concluded that there is no difference in talkativeness between women and men in the population.

In fact, any statistical relationship in a sample can be interpreted in two ways: There is a relationship in the population, and the relationship in the sample reflects this.

What we have shown instead is that assuming the null hypothesis is true, the conditional probability that the sample data exhibits the obtained test statistic is 0. The hypothesis that the estimate is based solely on chance is called the null hypothesis.

It depends on the state of nature as to whether your decision is correct or in error.

### Hypothesis conclusion examples

The hypothesis that the estimate is based solely on chance is called the null hypothesis. Depending on how you want to "summarize" the exam performances will determine how you might want to write a more specific null and alternative hypothesis. Often in an experiment we are actually testing the validity of the alternative hypothesis by testing whether to reject the null hypothesis. Again, every statistical relationship in a sample can be interpreted in either of these two ways: It might have occurred by chance, or it might reflect a relationship in the population. Since the two are complementary i. The columns of the table represent the three levels of relationship strength: weak, medium, and strong. Since our sample usually only contains a subset of the data in the population, we cannot be absolutely certain as to whether the null hypothesis is true or not. Figure 3 — Two-tailed hypothesis testing In this case we reject the null hypothesis if the test statistic falls in either side of the critical region. But it could also be that there is no relationship in the population and that the relationship in the sample is just a matter of sampling error. Hypothesis Testing Significance levels The level of statistical significance is often expressed as the so-called p-value. Example "He's dead, Jim," said Dr. We can also see why Kanner and his colleagues concluded that there is a correlation between hassles and symptoms in the population. For example, the two different teaching methods did not result in different exam performances i. As such, we can state: Null Hypotheses H0 : The mean exam mark for the "seminar" and "lecture-only" teaching methods is the same in the population.

Rated 9/10
based on 15 review

Download