$15.00 Statistics 214 - A state agency charged with enforcement of laws regarding equal access for disabled persons claims ...
Found in Mathematics: StatisticsChapter 1, # 0
Q:Statistics 214
A state agency charged with enforcement of laws regarding equal access for disabled persons claims that at least 80% of all the retail establishments in its state are in full compliance with these laws. For this exercise we will assume that this claim is valid. A city commission was concerned that the retail establishments in its city might not be performing as well (with respect to compliance with these laws) as those in the entire state. This commission obtained a simple random sample of 200 retail establishments located within its city and found that 156 of these establishments were in full compliance with these laws.
1. What is unit in this example?
2. Define a relevant dichotomous variable for this example.
3. What is the sampled population?
4. Define a suitable parameter (make it a proportion, call it p, and make it refer to the sampled population).
5. Construct a 95% confidence interval estimate for the population proportion of retail establishments in this city that are in full compliance with the laws regarding equal access for disabled persons. Provide an interpretation of this confidence interval in context of this example. Use the +2/+4 method.
6. Use the confidence interval estimate that you found above to determine if these data provide sufficient evidence to support the contention that the retail establishments in this city are not performing as well (in terms of full compliance) as the state agency’s claim would suggest. Be sure to justify your answer and explain your reasoning.
7. Suppose that the city commission wanted to make a claim of the same form as that made by the state agency. What is the strongest such claim that is supported by these data? Be sure to justify your answer and explain your reasoning.
