Answer :
Final answer:
The conditions for constructing a confidence interval for the difference in proportions are met.
Therefore, all conditions for inference are met, and a confidence interval for the difference in proportions can be constructed.
Explanation:
The conditions for constructing a confidence interval for the difference in proportions in this case are as follows:
- Random condition: met - The 200 "big" customers and 300 "small" customers were randomly selected.
- 10% condition: met - The sample size of 200 and 300 customers is less than 10% of the total population.
- Large Counts condition: met - The number of successes and failures in the samples (160 and 120) are both greater than 10.
Therefore, all conditions for inference are met, and a confidence interval for the difference in proportions can be constructed.