A researcher conducts a study of white and black attitudes toward the police in her community.
The percentage of a random sample of white respondents (N = 300) who say they have a favorable attitude toward the police is 55%. The percentage of a random sample of black respondents (N = 250) who say they have a favorable attitude toward the police is 41%.
You are asked if there is a real difference between the percentage of whites and blacks who have a positive attitude toward the police in the larger population, or is this sample difference likely to have occurred by random chance or sampling error.
How do you respond? Explain your answer.
Construct a 95% confidence interval for the proportion of Whites in the population who have a favorable attitude toward the police.