Discuss the following:
1. One hundred people were asked which of four brands of Cola they pre-ferred. 20 preferred brand A, 31 brand 8, 28 brand C and 21 preferred brand D. Does this sample provide evidence, at a 5% level of significance, that the brands are not equally popular.
2. Students at a college were asked "What role should students play in de-termining the curriculum?" and given three options to reply to:
(A) Advisory through student association
(B) Nonvoting membership on college curriculum committee
(C) Voting membership on college curriculum committee.
The responses for male and female students were counted seperately. The results are below:
A B C
Male 30 72 18
Female 36 28 16
Does this data provide evidence at 1% significance that male and female students hold different opinions on this question?
3. A management psychologist is studying the effect of a teams organisation structure on how well the team solves problems. In a management training course there are enough students to form nine teams. Three teams are in-structed to organise themselves in "strictly hierarchical" pattern, another three teams used a "consensus building" pattern of behaviour, and the final three teams had a "one member one vote" model. All teams were scored on a problem solving task. The results are below:
Hierarchs 7 7 4
Concensus 9 10 14
Voting 6 4 2
Does team organisation effect it's abilit to solve problem?
4. An advertising firm is studying the different ways that men and women respond to different types of advertising. Equal sized groups of men and women were asked to watch advertisements that were considered, 'soft sell', 'medium sell' and 'hard sell'. They were asked to rate how likely they were to buy the product after seeing the add. The mean rating of each group is given below:
Soft Medium Hard
Female 84 86 82
Male 86 94 96
(a) Does this data provide evidence, at 5%, that the stlye of advertising changes the likelihood of buying?
(b) Does this data provide evidence, at 5%, that the gender of the viewer changes the likelihood of buying?
(c) Give graphical evidence for or against the claim that the genders respond differently to different stlyes of advertising.