Answer:
The correct option is (C).
Step-by-step explanation:
A null hypothesis is a sort of hypothesis used in statistics that intends that no statistical significance exists in a set of given observations.
It is a hypothesis of no difference.
It is typically the hypothesis a scientist or experimenter will attempt to refute or discard. It is denoted by H₀.
Whereas the alternative hypothesis is a contradicting statement tot he null hypothesis. It is denoted by Hₐ.
In this case we need to test whether the average age of online consumers has increased or not.
From previous data we know that the average age of online consumers a few years ago was 24.1 years.
A one-sample mean test can be used to determine whether the mean age has increased or not.
The hypothesis for the test can be defined as follows:
<em>H₀</em>: The average age of online consumers is 24.1 years, i.e. <em>μ</em> = 24.1.
<em>Hₐ</em>: The average age of online consumers is more than 24.1 years, i.e. <em>μ</em> > 24.1.
Thus, the correct option is (C).
, where c is the hypotenuse (the longest side, in this case 53).