Solution Found!
A social experiment conducted by a TV program questioned
Chapter , Problem 6.23(choose chapter or problem)
A “social experiment” conducted by a TV program questioned what people do when they see a very obviously bruised woman getting picked on by her boyfriend. On two different occasions at the same restaurant, the same couple was depicted. In one scenario the woman was dressed “provocatively” and in the other scenario the woman was dressed “conservatively”. The table below shows how many restaurant diners were present under each scenario, and whether or not they intervened.
| Scenario | ||||
| Provocative | Conservative | Total | ||
| Intervene | Yes | 5 | 15 | 20 |
| No | 15 | 10 | 25 | |
| Total | 20 | 25 | 45 |
Explain why the sampling distribution of the difference between the proportions of interventions under provocative and conservative scenarios does not follow an approximately normal distribution.
Questions & Answers
QUESTION:
A “social experiment” conducted by a TV program questioned what people do when they see a very obviously bruised woman getting picked on by her boyfriend. On two different occasions at the same restaurant, the same couple was depicted. In one scenario the woman was dressed “provocatively” and in the other scenario the woman was dressed “conservatively”. The table below shows how many restaurant diners were present under each scenario, and whether or not they intervened.
| Scenario | ||||
| Provocative | Conservative | Total | ||
| Intervene | Yes | 5 | 15 | 20 |
| No | 15 | 10 | 25 | |
| Total | 20 | 25 | 45 |
Explain why the sampling distribution of the difference between the proportions of interventions under provocative and conservative scenarios does not follow an approximately normal distribution.
ANSWER:Problem 6.23
A “social experiment” conducted by a TV program questioned what people do when they see a very obviously bruised woman getting picked on by her boyfriend. On two different occasions at the same restaurant, the same couple was depicted. In one scenario the woman was dressed “provocatively” and in the other scenario the woman was dressed “conservatively”. The table below shows how many restaurant diners were present under each scenario, and whether or not they intervened. We are interested in evaluating whether people are equally likely to intervene when the woman is wearing a provocative or conservative outfit. Explain why the sampling distribution of the difference between the proportions of interventions under provocative and conservative scenarios does not follow an approximately normal distribution.
Step-by-step solution
Step 1 of 2
This numerical is based on the concept of difference of two proportions. For the distribution to follow an approximate normal distribution, the central limit theorem conditions are to be satisfied. In this case-success/failure condition. A minimum of 10 expected successes and 10 expected failures in each scenario is considered.