1. According to the National Center for Education Statistics, 50.5% of students enrolled in a U.S. higher education program during 2011-12 attended school full-time. It is believe that the current percentage of students enrolled in a U.S. higher education program that attend school full-time is lower than the percentage reported by NCES. To test this claim, a random sample of 643 of college students is selected.

4. Write the appropriate hypotheses (H0 and HA) for each scenario. a. In the United States, 38% of homes are free of mortgages. It is believed that this percentage is lower in Kentucky. In a random sample of Kentucky homes, 36.45% were free of mortgages. b. A recent study found 1 in 10 Americans over 65 have dementia. A new study is planned to investigate the accuracy of this claim. c. The Cincinnati and Hamilton County Public Library wants to test the claim that a majority of Hamilton County adult residence own a library card.