according to a 2010 census 20.3% of the population of the us live in a home in which a language other than English is spoken.

According to the 2010 census, 20.3% of the population of the United States (ages 5 and up) live in a home in which a language other than English is spoken. Advocates for providing government programs to assist non-English speakers are convinced that, with the increasing non-white population in the United States, this proportion has probably increased. They plan to conduct a survey, and if they nd the proportion of people who live in such homes has increased, they will organize a campaign to increase government investment in these assistance programs. 1. Write the advocates' null and alternative hypotheses. 2. In this context describe a Type I error and the impact such an error would have on this group's efforts. _ 3. In this context describe a Type II error and the impact such an error would have on this group's efforts. 4. Based on data that were collected during the survey, the advocate group found that a 99% condence interval for the proportion of all U. S. residents who live in a home in which a language other than English IS spoken (l9. 8%, 25 .2%). What conclusion should they reach about the population? Explain. 5. What alpha level did the group use? 6. Describe to the owner an advantage and a disadvantage of using an alpha level of 5% instead. 7. A consultant talked the group into gathering a larger sample. Will the power of the test increase, decrease, or remain the same? 8. In the larger sample the proportion of people living in a home in which a language other than English is Spoken was 20.8%. The consultant decided this increase was statistically signicant. Now that the group is convinced the proportion has increased, why might they still choose not to organize the campaign