Question

Statsitics question

This exercise resembles the preceding exercise. The variables in this case are: 1) the gender of automobile drivers, 2) whether they have driven "many" miles in their lives or "few" miles, and 3) whether they have had "many" accidents or "few" accidents.

You are to use the elaboration model to test fully the following hypothesis about the impact of gender on number of automobile accidents:

Hypothesis: Men have more automobile accidents than do women.

In testing this hypothesis, complete the items that follow the data table.

SEX	MILES DRIVEN	# OF ACCIDENTS	N
Women	Few	Many	20
Women	Few	Few	180
Women	Many	Many	80
Women	Many	Few	20
Men	Few	Many	5
Men	Few	Few	45
Men	Many	Many	160
Men	Many	Few	40

1. Identify the independent and dependent variables in the hypothesis. Construct the bivariate table that tests this basic hypothesis. Be sure you follow the guidelines for effective table presentation and analysis discussed in Chapter 15. Interpret the results.

2. Construct the other two bivariate tables that examine the relationship of the control variable first to the independent variable and then to the dependent variable of the original hypothesis. Interpret the results.

3. Construct the trivariate table appropriate for assessing the effect of the control variable on the original relationship. Do this by presenting two versions of the original bivariate table, one for each attribute of the control variable. Analyze the results.

4. Which form of the elaboration model best represents the pattern of your results? Why?

Answer 1

Data :

Sex	Miles Driven	# Accidents	N
Women	Few	Many	20
Women	Few	Few	180
Women	Many	Many	80
Women	Many	Few	20
Men	Few	Many	5
Men	Few	Few	45
Men	Many	Many	160
Men	Many	Few	40

1.

Independent Variables : Sex, Miles Driven

Dependent Variables : # Accidents N

Sex	#Accidents
Women	20
Women	180
Women	80
Women	20
Men	5
Men	45
Men	160
Men	40

H0: Men and women having same average of accidents
Vs H1: Men and women have not same average of accidents

z-Test: Two Sample for Means:

where

	Women	Men
Mean	75	62.5
Known Variance	5700	4542
Observations	4	4
Hypothesized Mean Difference	0
z Critical two-tail	1.959964

at 95% confidence interval, value of Z critical is greater than level of significance 5% so we reject null hypothesis.

So Women do have number of accidents more than men.