1. For each of the following, state the null and alternative hypotheses, the Typ

Question

1. For each of the following, state the null and alternative hypotheses, the Type I and Type II errors associated with the hypotheses, and the consequences of each error.

A) Too Many Pets, a pet store, is concerned about its dogs. The store has enough supplies on hand to maintain an estimated in-store average of 10 dogs a day. The store wants to know whether its average dog population is actually 10 a day or some other number. If their original estimate is incorrect the store will have to invest in reserach to determine the actual average and decide how to accommodate the change.

Explanation / Answer

a)The null hypothesis:

H0:The population mean is 10 a day

Against the alternative hypothesis:

H1:The population mean is different from zero

Type-1 Error= True H0 but reject it (False Positive)

So, if the null hypothesis is true still rejected and invested in research to determine the actual average and decide how to accommodate the change then one will commit type I error.

Type-2 = False H0 but accept it (False Negative).

So, if the null hypothesis is false still accepted and does not invest in research to determine the actual average and decide how to accommodate the change then one will commit type II error.

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