Question

*Please do this question in Minitab* The Response Rate Data A study was designed to see...

*Please do this question in Minitab*

The Response Rate Data

A study was designed to see if a mail survey’s response rate could be improved by contacting the potential respondents before they received the survey. One group of individuals received a preliminary letter about the survey, the second group was phoned, and the third group received no preliminary contact. The table below gives the counts of responses (yes/no) two weeks after the survey was mailed. (ref: Moore & McCabe, Intro Practice of Statistics, third edition, Freeman)

Intervention

Response?

Letter

Phone Call

None

Yes

171

146

118

No

220

68

455

Total

391

214

573

Did the intervention make a difference? If so, what was the difference?

Homework Answers

Answer #1
c1 c2 c3 sum
r1 171 146 118 435
r2 220 68 455 743
sum 391 214 573 1178
Eij 1 2 3
expected 1 144.3846 79.02377 211.5917
2 246.6154 134.9762 361.4083
0i 171 146 118 220 68 455
Ei 144.3846 79.02377 211.5917 246.6154 134.9762 361.4083192
sum
(Oi-Ei)^2/Ei 4.906219 56.7654 41.39767 2.872416 33.23411 24.23685968 163.4127
critical value 5.991465
p-value 3.28E-36

df = 2

TS = 163.41

critical value = 5.99 for alpha = 0.05

since TS > critical value

we reject the null hypothesis

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