Question

Because of the coronavirus pandemic, more people are trying to order food with food delivery apps. In a random sample of 100 college students, 55% claimed they had the experience of using UberEats to order foods. In another random sample of 120 high school students, 47 out of 120 students claimed they had the experience of using UberEats. Is there sufficient evidence to indicate that the rate of having the experience of using UberEats among college and high school students are different are the .10 significance level.

1.) Set up the null and alternative hypothesis

2.) Construct a confidence interval for the difference in the proportion of college students who have had the experience of UberEats versus high school students. Will you reject the null hypothesis?

3.) Determine the critical value at the .1 significance level, make a conclusion for the hypothesis test.

4.) What will the margin of error equal for the 95% confidence interval?

Answer 1

Let denote the proportions of people having the experience of using UberEats among college and high school students.

1) and 3)

2) and 4)