Chapter 26, Problem 8E

To determine

To test an appropriate hypothesis.

Answer to Problem 8E

There is sufficient evidence to support the claim that violence against women involves weapons than other violent attacks in the United States.

Explanation of Solution

The null and alternative hypotheses:

  $\begin{array}{l}{H}_0:p_1=0.637,p_2=0.131,p_3=0.168,p_4=0.067,\\ H_a:Atleastoneofthe{p}_i’sdifferent\end{array}$

Therefore, using excel,

Weapon	observed	expected	O − E	(O - E)² / E	% of chisq
Gun	966	1110.768	-144.768	18.868	4.84
Knives	390	229.512	160.488	112.222	28.81
Other	136	294.336	-158.336	85.176	21.87
Personal	260	117.384	142.616	173.272	44.48
Total	1752	1752.000	0.000	389.538	100.00
	389.54	chi-square
	3	df
	4.09E-84	p-value

  ${\chi }^2$ = 389.54 and P-value = 0

Decision: The p-value< 0.05, reject H0.

Conclusion: There is sufficient evidence to support the claim that violence against women involves weapons than other violent attacks in the United States.