Question

Researchers conducted a study to find out if there is a difference in the use of eReaders by different age groups. Randomly selected participants were divided into two age groups. In the 16- to 29-year-old group, 7% of the 627 surveyed use eReaders, while 11% of the 2,314 participants 30 years old and older use eReaders. Use α = 0.05. For subscripts let 1 = 16- to 29-year-old users, and 2 = 30 years old and older users.

1. State the null hypothesis. H0: ___________

2. State the alternative hypothesis. Ha: ___________

3. In words, state what your random variableP'1−P'2 represents.

4. State the distribution to use for the test. (Round your answers to four decimal places.)

5. Determine the test statistic using your data. (Round your answers to two decimal places.)

6. What is thep-value? (Round your answer to four decimal places.) Explain what thep-value means for this problem.

7. Draw a graph and label it appropriately. Shade the actual level of significance.

8. Do you or do you not reject the null hypothesis? Why?

9. Write a clear conclusion using a complete sentence.

Answer 1

Here we observe that test statistic value is greater than critical value. Hence we reject H0 at 5%l.o.s.