1. A textbook company is conducting research to evaluate the effectiveness of their new curriculum for AP Statistics. They select a random sample of 1008 students who used a traditional curriculum and find that 634 of these students passed the AP exam. In a random sample of 825 students who used the new curriculum, 561 students passed the AP exam. Do these data provide convincing evidence that the proportion of students who pass the AP exam is higher with the new curriculum than the traditional curriculum?

1. A textbook company is conducting research to evaluate the effectiveness of their new curriculum for AP Statistics. They select a random sample of 1008 students who used a traditional curriculum and find that 634 of these students passed the AP exam. In a random sample of 825 students who used the new curriculum, 561 students passed the AP exam.

Do these data provide convincing evidence that the proportion of students who pass the AP exam is higher with the new curriculum than the traditional curriculum?

The textbook company’s statisticians would like to increase the power of their test. Describe two ways they could do so.

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.