Question

For the statement below, write the claim as a mathematical statement. State thenull and alternative hypotheses and identify which represents the claim.An amusement park claims that the mean daily attendence at the parkis at least 21,000 people.

Answer 1

The statement can be express as:

$\mu\ge21000$

where mu is the daily mean.

From this statement the null hypothesis is given by:

$H_0:\mu\ge21000$

The alternate hypothesis is the complement of the statement (it tries to negate the null hypothesis) then we have:

$H_a:\mu<21000$