When discussing questions with students, I try to show a visual representation wherever possible, as this can really help understanding. Some excellent interactives are also available, which can allow students to study further examples and check their answers.

We could look at this example from Maths Genie (Binomial Hypothesis Testing under AS Mechanics and Statistics):

The worked solution is provided on Maths Genie; we could also illustrate this using Dr Tom Bennison’s GeoGebra applet, hosted on his blog, MathematicsAndCoding which clearly shows that 35 is not in either tail of the distribution.

Mike Hadden’s Excel files provide another way to illustrate this question. Under A/AS Statistics files, we see BinHyp and Binhyp2. BinHyp provides a graphical illustration, and BinHyp2 allows us to check the calculations for the critical regions.

Students will be expected to use their calculators to calculate probabilities. This Calculator Guide Video is very helpful (the Casio fx-991CW works in a very similar way).

For further examples – see the post-Statistical Hypothesis Testing.

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