Binomial test

A binomial test is used when we are interested in the proportion of something in the population.

For example, is a government’s claim reasonable that 60% of the voters intend to vote for them in the coming election?

When you formulate a test there are a number of fixed elements.

For the binomial test these are:

-the  null hypothesis p=…

-the alternate hypothesis: left sided, right sided or two sided (one tailed or two tailed)

-the significance level (alpha)

-the size of the sample

-the number of “successes” in the sample (e.g. the number of people who say that they do intend voting for the current government.)

A vertical line on the graph shows the number of successes in the sample.

By typing or dragging the line you can adjust the number of successes in the sample.

There is a number of options and buttons

p-value

In the diagram, the bars corresponding to the number of successes in the sample, or more extreme numbers of successes, are colored red.

Critical region

In the diagram, the bars which correspond to the rejection of the null hypothesis test are colored red.

Normal approximation

The best-fitting normal distribution is drawn.

Formulate conclusion

With this option you obtain a detailed conclusion, the text of which can be exported as an RTF file, which almost all current text editors can read.