Question

A study of seat belt users and nonusers yielded the randomly selected sample data summarized in the given table.  

   Number of cigarettes smoked per day
0 1-14 15 and over

Wear seat belts 168 30 50

Don't wear seat belts 150 25 77

At the 0.05 significance level, test the claim that the amount of smoking and seat belt use are related. The alternative hypothesis (H_1) is

Select one:

a. p_{0} = p_{1-14} = p_{15 and over} =1/3

b. The amount of smoking is dependent on seat belt use

c. None of the other answers in necessary true.

d. p_{wear seat belts} = p_{don't wear seat belts}

e. The amount of smoking is independent of seat belt use

Answer 1

Please check the given data is the same or not. Please do the comment if there is some change in the data. I will edit my answer. Thank You!

Option B is correct.

The alternative hypothesis (H_1) is The amount of smoking is dependent on seat belt use

The given data is:

	zero	0 to 14	15 and over
Wear seat belts	168	30	50
don't wear seat belts	150	25	77

Using excel<data<megastat<chi square

Here is the output:

Chi-square Contingency Table Test for Independence
			zero	0 to 14	15 and over	Total
	Wear seat belts		168	30	50	248
	don't wear seat belts		150	25	77	252
	Total		318	55	127	500
			7.18	chi-square
			2	df
			.0276	p-value

Since p-value =0.03<alpha(0.05). We reject the null hypothesis.

There is sufficient evidence to claim that the amount of smoking is dependent on seat belt use.