Rejecting the null thesis means that;
There's sufficient substantiation to support the claim that the mean is lesser than 32 long hauls per gallon.
For thesis testing, the first thing to define is the null and indispensable thesis.
In thesis testing, especially one comparing two sets of data, the null thesis plays the devil's advocate and generally takes the form of the contrary of the proposition to be tested. It generally contains the signs = , ≤ and ≥ depending on the directions of the test. It generally maintains that, with arbitrary chance responsible for the outgrowth or results of any experimental study/ thesis testing, its statement is true.
The indispensable thesis generally confirms the proposition being tested by the experimental setup. It generally contains the signs ≠,< and> depending on the directions of the test. It generally maintains that significant factors other than arbitrary chance, affect the outgrowth or results of the experimental study/ thesis testing and affect in its own statement.
For this question, Carter Motor Company claims that its new hydrofoil, the Libra, will total better than 32 long hauls per gallon in the megacity. And since this is talking distance covered per gallon of energy, better means that the new hydrofoil will total further than 32 long hauls per gallon.
So, the null thesis negating this claim would be that there is not significant substantiation to conclude that the normal of the new hydrofoil will be more or lesser than 32 long hauls per gallon.
That is, the new normal will be lower than or equal to 32 long hauls per hour.
And the indispensable thesis will confirm the claim that there's significant substantiation to conclude that the normal of the new hydrofoil will be more or lesser than 32 long hauls per gallon.
Mathematically,
The null thesis is represented as
H ₀ μ ≤ 32 long hauls per gallon
The indispensable thesis is given as
Hₐ μ> 32 long hauls per gallon
So, after the thesis test has been conducted, rejecting the null thesis means accepting the indispensable thesis and its statement that there's significant substantiation to conclude that the normal of the new hydrofoil will be more or lesser than 32 long hauls per gallon.
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