An online grocery company is researching the best location to start their new delivery service. They are comparing two local regions, A and B. In a random sample of 505 residents in region A, 26.1% said that they would use an online grocery store. In a random sample of 388 residents in region B, 29.5% said they would use an online grocery store. Find a 95% confidence interval for the difference in the proportions of residents in these two regions who would use an online grocery store. The CEO believes that region B will have a higher proportion of potential customers than region A. Does your confidence interval support that conclusion? Explain.

MATLAB: An Introduction with Applications
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2. An online grocery company is researching the best location to start their new delivery service. They are comparing two local regions, A and B. In a random sample of 505 residents in region A, 26.1% said that they would use an online grocery store. In a random sample of 388 residents in region B, 29.5% said they would use an online grocery store. Find a 95% confidence interval for the difference in the proportions of residents in these two regions who would use an online grocery store. The CEO believes that region B will have a higher proportion of potential customers than region A. Does your confidence interval support that conclusion? Explain.
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