Question

Social networking is becoming more and more popular among school-going teenagers. Camden Research Group used a survey of students in several states to determine the percentage of students who use social networking sites. Assume that the results for surveys in Georgia, Maryland, Washington, and Wyoming are as follows.

States
Use Social Networking Sites	Georgia	Maryland	Washington	Wyoming
Yes	344	265	301	500
No	456	235	399	500

Answer the following 6 questions.

1. We wish to conduct a hypothesis test to determine whether the proportion of students using social networking sites are equal for all four states. What is the value of your test statistic?

2. True or False: At least one state's population proportion is different from the others. (5% significance)

3. What is the sample proportion for Georgia?

4. Which state has the largest sample proportion?

5. Using the multiple comparison procedures, answer the following:

True or False: There is a significant difference between Georgia and Maryland. (5% significance)

6. Using the multiple comparison procedures, answer the following:

True or False: There is a significant difference between Wyoming and Maryland. (5% significance)

Answer 1

1)

		c1	c2	c3	c4	sum
	r1	344	265	301	500	1410
	r2	456	235	399	500	1590
	sum	800	500	700	1000	3000
	Eij	1	2	3	4
expected	1	376	235	329	470
	2	424	265	371	530
	0i	344	265	301	500	456	235	399	500
	Ei	376	235	329	470	424	265	371	530	sum
	(Oi-Ei)^2/Ei	2.723404	3.829787	2.382979	1.914894	2.415094	3.396226	2.113208	1.698113	20.47371
	p-value	0.000135
	critical value	7.82

test statisitic = 20.473

2)

p-value = 0.00135 < 0.05

we reject the null hypothesis

true

3)

344/800 = 0.43

4)

Maryland is correct

as p > 0.5 in this case only