Question

You would like to determine if there is a higher incidence of smoking among women than among men in a neighborhood. Let men and women be represented by populations 1 and 2, respectively. The relevant hypotheses are constructed as....a) h0: p1-p2 ≥ 0 h1: p1-p2 < 0b) h0: p1-p2≤ 0 h1: p1-p2 > 0

Answer 1

For this case we want to test if there is a higher incidence of smoking among women than among men in a neighborhood (alternative hypothesis). And we define p1 for men and p2 for women, so for this case the best system of hypothesis are:

Null hypothesis:
`p_1- p_2 \geq 0`

Alternative hypothesis:
`p_1 -p_2 <0`

And the best option would be:

a) h0: p1-p2 ≥ 0 h1: p1-p2 < 0

Explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

Solution to the problem

For this case we want to test if there is a higher incidence of smoking among women than among men in a neighborhood (alternative hypothesis). And we define p1 for men and p2 for women, so for this case the best system of hypothesis are:

Null hypothesis:
`p_1- p_2 \geq 0`

Alternative hypothesis:
`p_1 -p_2 <0`

And the best option would be:

a) h0: p1-p2 ≥ 0 h1: p1-p2 < 0