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The last digits of the heights of a sample of people are tabulated along with their respective frequencies.

The claim is to test that the sample is chosen from the population with the property that the has last digits of the heights of people are equally likely to occur.

Let\({p_0},{p_1},{p_2},...,{p_9}\)be the probabilities of the last digitof the heights of a sample of people.

The null hypothesis is written as follows:

The probabilities of the last digits of the heights of people are likely to occur equally.

The alternative hypothesis is written as follows:

The probabilities of the last digits of the heights of people are not likely to occur equally.

In terms of notations, the null and alternative hypothesis is:

\(\begin{aligned}{l}{H_0}:{p_0} = {p_1} = {p_2} = ... = {p_9}\\{H_1}:{\rm{Atleast}}\;{\rm{one}}\;{\rm{of}}\;{\rm{the}}\;{\rm{probabilities}}\;{\rm{is}}\;{\rm{diiferent}}{\rm{.}}\end{aligned}\)