Question

Is it a null hypothesis or alternative hypothesis?

(a) In Canada, the proportion of adults who favor legalized gambling equals 0.50.
(b) The proportion of all Canadian college students who are regular smokers is less than 0.24, the value it was 10 years ago.
(c) Introducing notation for a parameter, state the hypoth-eses in parts a and b in terms of the parameter values.

Answer 1

a) null hypothesis

b) alternative hypothesis

c) explained below

Explanation:

(a)

Let
`p_(0)` = The proportion of adults who favor legalized gambling in Canada. Then

`H_(0)`:
`p_(0)` = 0.50.

`H_(a)`:
`p_(0)` ≠ 0.50.

(b)

Let
`p_(0)` = The proportion of all Canadian college students who are regular smokers. Then

`H_(0)`:
`p_(0)` = 0.24

`H_(a)`:
`p_(0)` < 0.24