State the null and alternative hypotheses for each of the following: a. You want

Question

State the null and alternative hypotheses for each of the following:

a. You want to show an increase in buying and selling of single-family homes this year when compared with last year's rate.

b. You are testing a new recipe for "low-fat" cheesecake and expect to find that its taste is not as good as traditional cheescake.

c. You are trying to show that music lessons have a positive effect on a child's self-esteem.

d. You are investigating the relationship between a person's gender and the automobile he or she drives - specifically you want to show that males tend to drive truck-type vehicles more than females do.

Explanation / Answer

(a) Null hypothesis: There is no increase in buying and selling of single-family homes this year when compared with last year's rate Alternative hypothesis: There is an increase in buying and selling of single-family homes this year when compared with last year's rate ----------------------------------------------------------------------------------------------- (b) Null hypothesis: a new recipe for "low-fat" cheesecake is as good as traditional cheescake Alternative hypothesis: a new recipe for "low-fat" cheesecake is not as good as traditional cheescake ----------------------------------------------------------------------------------------------------- (c) Null hypothesis: music lessons have no positive effect on a child's self-esteem. Alternative hypothesis: music lessons have a positive effect on a child's self-esteem --------------------------------------------------------------------------------------------------- (d) Null hypothesis: males do not tend to drive truck-type vehicles more than females do Alternative hypothesis: males tend to drive truck-type vehicles more than females do.

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