Three years ago, the city of Long Beach introduced the ’Lawn to Garden’ program.

Question

Three years ago, the city of Long Beach introduced the ’Lawn to Garden’ program. The purpose of the program was to replace turf for drought resistant plants and by doing so, reduce water usage in the city. Recently, the mayor announced that the average water usage per household has been reduced by 20 percent. However, a group called ’Concern Citizens’ claims that the average water usage has remained the same, and the money could have been used for other public projects instead. Who is correct? Things to consider

What should be the hypothesis to be tested? (a) Whose claim are you trying to prove? (b) Can both parties be correct?

What information do you need in order to tackle this problem? (a) Is this information easily obtained? (b) Where could you find it? (c) What would the best course of action if little or no data is available?

What statistical ”skill(s)” do you need to use to arrive at your conclusion? (a) What is the ”most” appropriate method/test to use? What assumptions are needed in order for your ’method/test’ to be valid? (b) Is there more than one method/test to arrive at the same conclusion?

Explanation / Answer

1,

Here, we are trying to test the following hypothesis:

H0: There has been no change in the average usage of water.

H1: There has been a decrease of 20% in the average water usage.

a, Here , we are trying to prove the MAYOR's claim since in testing of hypothesis our objective is to reject the null hypothesis.

b, Here, both the parties CANNOT BE CORRECT.

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